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31330133414442 = 2333147398207039
BaseRepresentation
bin1110001111110100111010…
…11110010001001000101010
311002221010112212101021022000
413013322131132101020222
513101303103123230232
6150344510430311430
76412345625021052
oct707723536211052
9132833485337260
1031330133414442
119a8a0425a0545
12361bba6358576
13146355a441425
147a455a98c562
15394e7e3cd27c
hex1c7e9d79122a

31330133414442 has 64 divisors (see below), whose sum is σ = 73397521612800. Its totient is φ = 9891462823920.

The previous prime is 31330133414431. The next prime is 31330133414449. The reversal of 31330133414442 is 24441433103313.

31330133414442 is a `hidden beast` number, since 3 + 1 + 3 + 301 + 3 + 341 + 4 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31330133414397 and 31330133414406.

It is not an unprimeable number, because it can be changed into a prime (31330133414449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199024842 + ... + 199182197.

It is an arithmetic number, because the mean of its divisors is an integer number (1146836275200).

Almost surely, 231330133414442 is an apocalyptic number.

31330133414442 is an abundant number, since it is smaller than the sum of its proper divisors (42067388198358).

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

31330133414442 is a wasteful number, since it uses less digits than its factorization.

31330133414442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398207128 (or 398207122 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 31330133414442 its reverse (24441433103313), we get a palindrome (55771566517755).

The spelling of 31330133414442 in words is "thirty-one trillion, three hundred thirty billion, one hundred thirty-three million, four hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 279 282 423 558 837 846 1269 1457 1674 2538 2914 4371 8742 13113 26226 39339 78678 398207039 796414078 1194621117 2389242234 3583863351 7167726702 10751590053 12344418209 18715730833 21503180106 24688836418 37033254627 37431461666 56147192499 74066509254 111099763881 112294384998 168441577497 222199527762 333299291643 336883154994 505324732491 580187655823 666598583286 1010649464982 1160375311646 1740562967469 3481125934938 5221688902407 10443377804814 15665066707221 31330133414442