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115512400431336 = 233431371575203897
BaseRepresentation
bin11010010000111011010011…
…100110000100100011101000
3120010222212200210110210122110
4122100323103212010203220
5110120023344002300321
61045401355243522320
733221331652214406
oct3220732346044350
9503885623423573
10115512400431336
1133895596706807
1210b570b12293a0
134c5ba075aaa0c
142074b897a2476
15d54b21534176
hex690ed39848e8

115512400431336 has 128 divisors (see below), whose sum is σ = 299549690858880. Its totient is φ = 37096368132096.

The previous prime is 115512400431317. The next prime is 115512400431347. The reversal of 115512400431336 is 633134004215511.

It is a super-2 number, since 2×1155124004313362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115512400431294 and 115512400431303.

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, 19595340 + ... + 24799236.

It is an arithmetic number, because the mean of its divisors is an integer number (2340231959835).

Almost surely, 2115512400431336 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 115512400431336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149774845429440).

115512400431336 is an abundant number, since it is smaller than the sum of its proper divisors (184037290427544).

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

115512400431336 is a wasteful number, since it uses less digits than its factorization.

115512400431336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204243 (or 5204239 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 115512400431336 its reverse (633134004215511), we get a palindrome (748646404646847).

The spelling of 115512400431336 in words is "one hundred fifteen trillion, five hundred twelve billion, four hundred million, four hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 137 157 172 258 274 314 344 411 471 516 548 628 822 942 1032 1096 1256 1644 1884 3288 3768 5891 6751 11782 13502 17673 20253 21509 23564 27004 35346 40506 43018 47128 54008 64527 70692 81012 86036 129054 141384 162024 172072 258108 516216 924887 1849774 2774661 3699548 5203897 5549322 7399096 10407794 11098644 15611691 20815588 22197288 31223382 41631176 62446764 124893528 223767571 447535142 671302713 712933889 817011829 895070284 1342605426 1425867778 1634023658 1790140568 2138801667 2451035487 2685210852 2851735556 3268047316 4277603334 4902070974 5370421704 5703471112 6536094632 8555206668 9804141948 17110413336 19608283896 30656157227 35131508647 61312314454 70263017294 91968471681 105394525941 111930620573 122624628908 140526034588 183936943362 210789051882 223861241146 245249257816 281052069176 335791861719 367873886724 421578103764 447722482292 671583723438 735747773448 843156207528 895444964584 1343167446876 2686334893752 4813016684639 9626033369278 14439050053917 19252066738556 28878100107834 38504133477112 57756200215668 115512400431336