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42256000440 = 23325579120269
BaseRepresentation
bin100111010110101001…
…110110010110111000
311001001220010020022100
4213112221312112320
51143020014003230
631225004423400
73024100035363
oct472651662670
9131056106270
1042256000440
1116a14457615
128233547b60
133ca5590574
14208c0650da
151174ab6660
hex9d6a765b8

42256000440 has 96 divisors (see below), whose sum is σ = 137362492800. Its totient is φ = 11265765120.

The previous prime is 42256000429. The next prime is 42256000441. The reversal of 42256000440 is 4400065224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42256000441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2074626 + ... + 2094894.

It is an arithmetic number, because the mean of its divisors is an integer number (1430859300).

Almost surely, 242256000440 is an apocalyptic number.

42256000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42256000440 is an abundant number, since it is smaller than the sum of its proper divisors (95106492360).

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

42256000440 is a wasteful number, since it uses less digits than its factorization.

42256000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26077 (or 26070 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42256000440 its reverse (4400065224), we get a palindrome (46656065664).

The spelling of 42256000440 in words is "forty-two billion, two hundred fifty-six million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5791 11582 17373 20269 23164 28955 34746 40538 46328 52119 57910 60807 69492 81076 86865 101345 104238 115820 121614 138984 162152 173730 182421 202690 208476 231640 243228 260595 304035 347460 364842 405380 416952 486456 521190 608070 694920 729684 810760 912105 1042380 1216140 1459368 1824210 2084760 2432280 3648420 7296840 117377779 234755558 352133337 469511116 586888895 704266674 939022232 1056400011 1173777790 1408533348 1760666685 2112800022 2347555580 2817066696 3521333370 4225600044 4695111160 5282000055 7042666740 8451200088 10564000110 14085333480 21128000220 42256000440