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114502082472 = 233217601155653
BaseRepresentation
bin110101010100011011…
…0110001111110101000
3101221112211212110111100
41222220312301332220
53334000013114342
6124333533001400
711162316433221
oct1525066617650
9357484773440
10114502082472
1144618493328
121a236623260
13aa4a15252b
1457830b2248
152ea2497e4c
hex1aa8db1fa8

114502082472 has 96 divisors (see below), whose sum is σ = 328900015080. Its totient is φ = 35862220800.

The previous prime is 114502082447. The next prime is 114502082483. The reversal of 114502082472 is 274280205411.

114502082472 is a `hidden beast` number, since 1 + 1 + 4 + 502 + 0 + 82 + 4 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114275098116 + 226984356 = 338046^2 + 15066^2 .

It is a super-2 number, since 2×1145020824722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657798 + ... + 813450.

Almost surely, 2114502082472 is an apocalyptic number.

114502082472 is a gapful number since it is divisible by the number (12) 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 114502082472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164450007540).

114502082472 is an abundant number, since it is smaller than the sum of its proper divisors (214397932608).

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

114502082472 is a wasteful number, since it uses less digits than its factorization.

114502082472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156283 (or 156276 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 114502082472 its reverse (274280205411), we get a palindrome (388782287883).

The spelling of 114502082472 in words is "one hundred fourteen billion, five hundred two million, eighty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 601 612 1202 1224 1803 2404 3606 4808 5409 7212 10217 10818 14424 20434 21636 30651 40868 43272 61302 81736 91953 122604 155653 183906 245208 311306 367812 466959 622612 735624 933918 1245224 1400877 1867836 2646101 2801754 3735672 5292202 5603508 7938303 10584404 11207016 15876606 21168808 23814909 31753212 47629818 63506424 93547453 95259636 187094906 190519272 280642359 374189812 561284718 748379624 841927077 1122569436 1590306701 1683854154 2245138872 3180613402 3367708308 4770920103 6361226804 6735416616 9541840206 12722453608 14312760309 19083680412 28625520618 38167360824 57251041236 114502082472