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42014433432 = 2336773359997
BaseRepresentation
bin100111001000010000…
…010110000010011000
311000110001120100200010
4213020100112002120
51142021143332212
631145015041520
73015104535366
oct471020260230
9130401510603
1042014433432
1116900063764
1281866702a0
133c675113ca
142067d42636
15115d79b03c
hex9c8416098

42014433432 has 128 divisors (see below), whose sum is σ = 108473817600. Its totient is φ = 13555289088.

The previous prime is 42014433367. The next prime is 42014433467. The reversal of 42014433432 is 23433441024.

It is a happy number.

It is a super-2 number, since 2×420144334322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42014433432.

It is a congruent number.

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, 42140358 + ... + 42141354.

It is an arithmetic number, because the mean of its divisors is an integer number (847451700).

Almost surely, 242014433432 is an apocalyptic number.

It is an amenable number.

42014433432 is an abundant number, since it is smaller than the sum of its proper divisors (66459384168).

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

42014433432 is a wasteful number, since it uses less digits than its factorization.

42014433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42014433432 its reverse (23433441024), we get a palindrome (65447874456).

The spelling of 42014433432 in words is "forty-two billion, fourteen million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 67 73 134 146 201 219 268 292 359 402 438 536 584 718 804 876 997 1077 1436 1608 1752 1994 2154 2872 2991 3988 4308 4891 5982 7976 8616 9782 11964 14673 19564 23928 24053 26207 29346 39128 48106 52414 58692 66799 72159 72781 78621 96212 104828 117384 133598 144318 145562 157242 192424 200397 209656 218343 267196 288636 291124 314484 357923 400794 436686 534392 577272 582248 628968 715846 801588 873372 1073769 1431692 1603176 1746744 1755869 2147538 2863384 3511738 4295076 4876327 5267607 7023476 8590152 9752654 10535214 14046952 14628981 19505308 21070428 23980841 26128379 29257962 39010616 42140856 47961682 52256758 58515924 71942523 78385137 95923364 104513516 117031848 143885046 156770274 191846728 209027032 287770092 313540548 575540184 627081096 1750601393 3501202786 5251804179 7002405572 10503608358 14004811144 21007216716 42014433432