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310340413140 = 223517279226549
BaseRepresentation
bin1001000010000011011…
…10101110011011010100
31002200001011020102220120
410201001232232123110
520041034121210030
6354322440031540
731264344662412
oct4410156563324
91080034212816
10310340413140
1110a68408878a
12501904625b0
132335a1c6774
14110405982b2
1581153b0010
hex4841bae6d4

310340413140 has 144 divisors (see below), whose sum is σ = 934763424000. Its totient is φ = 76903077888.

The previous prime is 310340413127. The next prime is 310340413171. The reversal of 310340413140 is 41314043013.

It is a super-2 number, since 2×3103404131402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310340413140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256586 + ... + 1483134.

Almost surely, 2310340413140 is an apocalyptic number.

310340413140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310340413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467381712000).

310340413140 is an abundant number, since it is smaller than the sum of its proper divisors (624423010860).

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

310340413140 is a wasteful number, since it uses less digits than its factorization.

310340413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226674 (or 226655 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 310340413140 its reverse (41314043013), we get a palindrome (351654456153).

The spelling of 310340413140 in words is "three hundred ten billion, three hundred forty million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 79 85 102 158 170 204 237 255 289 316 340 395 474 510 578 790 867 948 1020 1156 1185 1343 1445 1580 1734 2370 2686 2890 3468 4029 4335 4740 5372 5780 6715 8058 8670 13430 16116 17340 20145 22831 26860 40290 45662 68493 80580 91324 114155 136986 226549 228310 273972 342465 453098 456620 679647 684930 906196 1132745 1359294 1369860 2265490 2718588 3398235 3851333 4530980 6796470 7702666 11553999 13592940 15405332 17897371 19256665 23107998 35794742 38513330 46215996 53692113 57769995 65472661 71589484 77026660 89486855 107384226 115539990 130945322 178973710 196417983 214768452 231079980 261890644 268460565 304255307 327363305 357947420 392835966 536921130 608510614 654726610 785671932 912765921 982089915 1073842260 1217021228 1309453220 1521276535 1825531842 1964179830 3042553070 3651063684 3928359660 4563829605 5172340219 6085106140 9127659210 10344680438 15517020657 18255318420 20689360876 25861701095 31034041314 51723402190 62068082628 77585103285 103446804380 155170206570 310340413140