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12316274240 = 2651719119159
BaseRepresentation
bin10110111100001101…
…10110111001000000
31011210100020120001012
423132012312321000
5200210431233430
65354044300052
7614131414034
oct133606667100
934710216035
1012316274240
115250241146
122478841628
13121383cc4a
1484ba2a1c4
154c13e6695
hex2de1b6e40

12316274240 has 112 divisors (see below), whose sum is σ = 32687971200. Its totient is φ = 4392640512.

The previous prime is 12316274237. The next prime is 12316274251. The reversal of 12316274240 is 4247261321.

12316274240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123162742402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12316274197 and 12316274206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43781 + ... + 162939.

Almost surely, 212316274240 is an apocalyptic number.

12316274240 is a gapful number since it is divisible by the number (10) 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 12316274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343985600).

12316274240 is an abundant number, since it is smaller than the sum of its proper divisors (20371696960).

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

12316274240 is a wasteful number, since it uses less digits than its factorization.

12316274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119212 (or 119202 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 12316274240 in words is "twelve billion, three hundred sixteen million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 136 152 160 170 190 272 304 320 323 340 380 544 608 646 680 760 1088 1216 1292 1360 1520 1615 2584 2720 3040 3230 5168 5440 6080 6460 10336 12920 20672 25840 51680 103360 119159 238318 476636 595795 953272 1191590 1906544 2025703 2264021 2383180 3813088 4051406 4528042 4766360 7626176 8102812 9056084 9532720 10128515 11320105 16205624 18112168 19065440 20257030 22640210 32411248 36224336 38130880 38488357 40514060 45280420 64822496 72448672 76976714 81028120 90560840 129644992 144897344 153953428 162056240 181121680 192441785 307906856 324112480 362243360 384883570 615813712 648224960 724486720 769767140 1231627424 1539534280 2463254848 3079068560 6158137120 12316274240