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411320030104134 = 23437797691129561
BaseRepresentation
bin101110110000101111110100…
…0010010001000101001000110
31222221100210220010000112120000
41131201133220102020221012
5412403031410201313014
64014445451354222130
7152431614534126354
oct13541375022105106
91887323803015500
10411320030104134
1110a0719329a2578
123a1706b1a24946
131486840a488818
14737ddd22027d4
1532845a06ac509
hex17617e8488a46

411320030104134 has 160 divisors (see below), whose sum is σ = 959800578844800. Its totient is φ = 131541075394560.

The previous prime is 411320030104079. The next prime is 411320030104147. The reversal of 411320030104134 is 431401030023114.

411320030104134 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 200 + 30 + 10 + 413 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 411320030104098 and 411320030104107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 363576714 + ... + 364706274.

It is an arithmetic number, because the mean of its divisors is an integer number (5998753617780).

Almost surely, 2411320030104134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411320030104134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479900289422400).

411320030104134 is an abundant number, since it is smaller than the sum of its proper divisors (548480548740666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411320030104134 is a wasteful number, since it uses less digits than its factorization.

411320030104134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130460 (or 1130451 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 411320030104134 its reverse (431401030023114), we get a palindrome (842721060127248).

The spelling of 411320030104134 in words is "four hundred eleven trillion, three hundred twenty billion, thirty million, one hundred four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 79 81 111 158 162 222 237 333 474 666 711 769 999 1422 1538 1998 2133 2307 2923 2997 4266 4614 5846 5994 6399 6921 8769 12798 13842 17538 20763 26307 28453 41526 52614 56906 60751 62289 78921 85359 121502 124578 157842 170718 182253 236763 256077 364506 473526 512154 546759 768231 1093518 1129561 1536462 1640277 2247787 2259122 2304693 3280554 3388683 4495574 4609386 4920831 6743361 6777366 9841662 10166049 13486722 20230083 20332098 30498147 40460166 41793757 60690249 60996294 83587514 89235319 91494441 121380498 125381271 178470638 182070747 182988882 250762542 267705957 364141494 376143813 535411914 752287626 803117871 868632409 1128431439 1606235742 1737264818 2256862878 2409353613 2605897227 3301706803 3385294317 4818707226 5211794454 6603413606 6770588634 7228060839 7817691681 9905120409 14456121678 15635383362 19810240818 23453075043 29715361227 32139399133 46906150086 59430722454 64278798266 68621960311 70359225129 89146083681 96418197399 137243920622 140718450258 178292167362 192836394798 205865880933 267438251043 289254592197 411731761866 534876502086 578509184394 617597642799 867763776591 1235195285598 1735527553182 1852792928397 2539012531507 2603291329773 3705585856794 5078025063014 5206582659546 5558378785191 7617037594521 11116757570382 15234075189042 22851112783563 45702225567126 68553338350689 137106676701378 205660015052067 411320030104134