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1401124133412 = 22325359122310177
BaseRepresentation
bin10100011000111001100…
…000011001101000100100
311221221112202020200121200
4110120321200121220210
5140424000234232122
62551400104442500
7203141106425643
oct24307140315044
94857482220550
101401124133412
114a0239056373
121a7669779430
13a2182787483
144bb59a2b35a
15266a6bb15ac
hex14639819a24

1401124133412 has 144 divisors (see below), whose sum is σ = 3673078980480. Its totient is φ = 450050125824.

The previous prime is 1401124133329. The next prime is 1401124133413. The reversal of 1401124133412 is 2143314211041.

It is a happy number.

1401124133412 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 241 + 3 + 3 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (1401124133413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137670468 + ... + 137680644.

It is an arithmetic number, because the mean of its divisors is an integer number (25507492920).

Almost surely, 21401124133412 is an apocalyptic number.

1401124133412 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 1401124133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836539490240).

1401124133412 is an abundant number, since it is smaller than the sum of its proper divisors (2271954847068).

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

1401124133412 is a wasteful number, since it uses less digits than its factorization.

1401124133412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11522 (or 11517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1401124133412 its reverse (2143314211041), we get a palindrome (3544438344453).

The spelling of 1401124133412 in words is "one trillion, four hundred one billion, one hundred twenty-four million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 59 106 118 159 177 212 236 318 354 477 531 636 708 954 1062 1223 1908 2124 2446 3127 3669 4892 6254 7338 9381 10177 11007 12508 14676 18762 20354 22014 28143 30531 37524 40708 44028 56286 61062 64819 72157 91593 112572 122124 129638 144314 183186 194457 216471 259276 288628 366372 388914 432942 539381 583371 600443 649413 777828 865884 1078762 1166742 1200886 1298826 1618143 1801329 2157524 2333484 2401772 2597652 3236286 3602658 3824321 4854429 5403987 6472572 7205316 7648642 9708858 10807974 11472963 12446471 15297284 19417716 21615948 22945926 24892942 31823479 34418889 37339413 45891852 49785884 63646958 68837778 74678826 95470437 112018239 127293916 137675556 149357652 190940874 224036478 286411311 381881748 448072956 572822622 659662963 734341789 1145645244 1319325926 1468683578 1978988889 2203025367 2638651852 2937367156 3957977778 4406050734 5936966667 6609076101 7915955556 8812101468 11873933334 13218152202 23747866668 26436304404 38920114817 77840229634 116760344451 155680459268 233520688902 350281033353 467041377804 700562066706 1401124133412