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42001462838376 = 23322140092725837
BaseRepresentation
bin10011000110011001110100…
…10001011100010001101000
312111201022010011100202021200
421203030322101130101220
521001122443441312001
6225155112231004200
711563335255342516
oct1143147221342150
9174638104322250
1042001462838376
11124237a1883a98
1248641b8b09660
131a5894ac0c472
14a52c4b3574b6
154cc84b353086
hex26333a45c468

42001462838376 has 48 divisors (see below), whose sum is σ = 113754535124100. Its totient is φ = 14000417056512.

The previous prime is 42001462838329. The next prime is 42001462838383. The reversal of 42001462838376 is 67383826410024.

42001462838376 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 4 + 628 + 3 + 8 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41122387830276 + 879075008100 = 6412674^2 + 937590^2 .

It is a super-2 number, since 2×420014628383762 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14045730 + ... + 16771566.

Almost surely, 242001462838376 is an apocalyptic number.

It is an amenable number.

42001462838376 is an abundant number, since it is smaller than the sum of its proper divisors (71753072285724).

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

42001462838376 is a wasteful number, since it uses less digits than its factorization.

42001462838376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939858 (or 2939851 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 42001462838376 in words is "forty-two trillion, one billion, four hundred sixty-two million, eight hundred thirty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 214009 428018 642027 856036 1284054 1712072 1926081 2568108 2725837 3852162 5136216 5451674 7704324 8177511 10903348 15408648 16355022 21806696 24532533 32710044 49065066 65420088 98130132 196260264 583353650533 1166707301066 1750060951599 2333414602132 3500121903198 4666829204264 5250182854797 7000243806396 10500365709594 14000487612792 21000731419188 42001462838376