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42001211211312 = 24337132117902597
BaseRepresentation
bin10011000110011001010110…
…10001100011111000110000
312111201021110121212202211210
421203030223101203320300
521001121440032230222
6225155031241440120
711563326111503103
oct1143145321437060
9174637417782753
1042001211211312
1112423682839941
1248641487a0040
131a5890aa4a302
14a52c25b7673a
154cc8341ebd0c
hex26332b463e30

42001211211312 has 80 divisors (see below), whose sum is σ = 111520009227872. Its totient is φ = 13611701790720.

The previous prime is 42001211211277. The next prime is 42001211211331. The reversal of 42001211211312 is 21311211210024.

It is a super-3 number, since 3×420012112113123 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 6605203 + ... + 11297394.

Almost surely, 242001211211312 is an apocalyptic number.

It is an amenable number.

42001211211312 is an abundant number, since it is smaller than the sum of its proper divisors (69518798016560).

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

42001211211312 is a wasteful number, since it uses less digits than its factorization.

42001211211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17903966 (or 17903960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 42001211211312 its reverse (21311211210024), we get a palindrome (63312422421336).

The spelling of 42001211211312 in words is "forty-two trillion, one billion, two hundred eleven million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1321 1776 2642 3963 5284 7926 10568 15852 21136 31704 48877 63408 97754 146631 195508 293262 391016 586524 782032 1173048 2346096 17902597 35805194 53707791 71610388 107415582 143220776 214831164 286441552 429662328 662396089 859324656 1324792178 1987188267 2649584356 3974376534 5299168712 7948753068 10598337424 15897506136 23649330637 31795012272 47298661274 70947991911 94597322548 141895983822 189194645096 283791967644 378389290192 567583935288 875025233569 1135167870576 1750050467138 2625075700707 3500100934276 5250151401414 7000201868552 10500302802828 14000403737104 21000605605656 42001211211312