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413106620304 = 24373739783701
BaseRepresentation
bin1100000001011110001…
…00101100011110010000
31110111022002222200000110
412000233010230132100
523232020243322204
6513440100321320
741563111223010
oct6005704543620
91414262880013
10413106620304
1114a219a10204
12680906a3240
132cc56b30c81
1415dccb63c40
15ab2c3ab889
hex602f12c790

413106620304 has 160 divisors (see below), whose sum is σ = 1255781775616. Its totient is φ = 114549811200.

The previous prime is 413106620299. The next prime is 413106620321. The reversal of 413106620304 is 403026601314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4893654 + ... + 4977354.

Almost surely, 2413106620304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413106620304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627890887808).

413106620304 is an abundant number, since it is smaller than the sum of its proper divisors (842675155312).

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

413106620304 is a wasteful number, since it uses less digits than its factorization.

413106620304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84153 (or 84147 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 413106620304 in words is "four hundred thirteen billion, one hundred six million, six hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 397 444 518 592 777 794 888 1036 1191 1554 1588 1776 2072 2382 2779 3108 3176 4144 4764 5558 6216 6352 8337 9528 11116 12432 14689 16674 19056 22232 29378 33348 44067 44464 58756 66696 83701 88134 102823 117512 133392 167402 176268 205646 235024 251103 308469 334804 352536 411292 502206 585907 616938 669608 705072 822584 1004412 1171814 1233876 1339216 1645168 1757721 2008824 2343628 2467752 3096937 3515442 4017648 4687256 4935504 6193874 7030884 9290811 9374512 12387748 14061768 18581622 21678559 24775496 28123536 33229297 37163244 43357118 49550992 65035677 66458594 74326488 86714236 99687891 130071354 132917188 148652976 173428472 199375782 232605079 260142708 265834376 346856944 398751564 465210158 520285416 531668752 697815237 797503128 930420316 1040570832 1229483989 1395630474 1595006256 1860840632 2458967978 2791260948 3688451967 3721681264 4917935956 5582521896 7376903934 8606387923 9835871912 11165043792 14753807868 17212775846 19671743824 25819163769 29507615736 34425551692 51638327538 59015231472 68851103384 103276655076 137702206768 206553310152 413106620304