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12114210440 = 2351077573739
BaseRepresentation
bin10110100100001000…
…00010111010001000
31011021021000122121202
423102010002322020
5144302214213230
65322025323332
7606126042533
oct132204027210
934237018552
1012114210440
115157179672
122421036548
1311b0a12477
1482cc6ba1a
154ad7d0a45
hex2d2102e88

12114210440 has 64 divisors (see below), whose sum is σ = 27555422400. Its totient is φ = 4792773888.

The previous prime is 12114210431. The next prime is 12114210457. The reversal of 12114210440 is 4401241121.

It is a super-3 number, since 3×121142104403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3238091 + ... + 3241829.

It is an arithmetic number, because the mean of its divisors is an integer number (430553475).

Almost surely, 212114210440 is an apocalyptic number.

12114210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114210440 is an abundant number, since it is smaller than the sum of its proper divisors (15441211960).

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

12114210440 is a wasteful number, since it uses less digits than its factorization.

12114210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12114210440 its reverse (4401241121), we get a palindrome (16515451561).

The spelling of 12114210440 in words is "twelve billion, one hundred fourteen million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 757 856 1070 1514 2140 3028 3739 3785 4280 6056 7478 7570 14956 15140 18695 29912 30280 37390 74780 80999 149560 161998 323996 400073 404995 647992 800146 809990 1600292 1619980 2000365 2830423 3200584 3239960 4000730 5660846 8001460 11321692 14152115 16002920 22643384 28304230 56608460 113216920 302855261 605710522 1211421044 1514276305 2422842088 3028552610 6057105220 12114210440