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1402040112 = 2431137431669
BaseRepresentation
bin101001110010001…
…0110111100110000
310121201012000110120
41103210112330300
510332410240422
6351042330240
746513100334
oct12344267460
93551160416
101402040112
1165a462540
12331659980
13194614245
14d42c37c4
158314945c
hex53916f30

1402040112 has 160 divisors (see below), whose sum is σ = 4154853120. Its totient is φ = 403522560.

The previous prime is 1402040093. The next prime is 1402040137. The reversal of 1402040112 is 2110402041.

It is a junction number, because it is equal to n+sod(n) for n = 1402040091 and 1402040100.

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, 839214 + ... + 840882.

It is an arithmetic number, because the mean of its divisors is an integer number (25967832).

Almost surely, 21402040112 is an apocalyptic number.

1402040112 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 1402040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077426560).

1402040112 is an abundant number, since it is smaller than the sum of its proper divisors (2752813008).

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

1402040112 is a wasteful number, since it uses less digits than its factorization.

1402040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1402040112 is about 37443.8260865526. The cubic root of 1402040112 is about 1119.2320713788.

Adding to 1402040112 its reverse (2110402041), we get a palindrome (3512442153).

The spelling of 1402040112 in words is "one billion, four hundred two million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 43 44 48 66 74 86 88 111 129 132 148 172 176 222 258 264 296 344 407 444 473 516 528 592 688 814 888 946 1032 1221 1419 1591 1628 1669 1776 1892 2064 2442 2838 3182 3256 3338 3784 4773 4884 5007 5676 6364 6512 6676 7568 9546 9768 10014 11352 12728 13352 17501 18359 19092 19536 20028 22704 25456 26704 35002 36718 38184 40056 52503 55077 61753 70004 71767 73436 76368 80112 105006 110154 123506 140008 143534 146872 185259 210012 215301 220308 247012 280016 287068 293744 370518 420024 430602 440616 494024 574136 679283 741036 789437 840048 861204 881232 988048 1148272 1358566 1482072 1578874 1722408 2037849 2368311 2655379 2717132 2964144 3157748 3444816 4075698 4736622 5310758 5434264 6315496 7966137 8151396 9473244 10621516 10868528 12630992 15932274 16302792 18946488 21243032 29209169 31864548 32605584 37892976 42486064 58418338 63729096 87627507 116836676 127458192 175255014 233673352 350510028 467346704 701020056 1402040112