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1400800136032 = 251137271396883
BaseRepresentation
bin10100011000100110001…
…100011100101101100000
311221220201011120220202201
4110120212030130231200
5140422314313323112
62551304012222544
7203130063461113
oct24304614345540
94856634526681
101400800136032
114a0092181340
121a759916aa54
13a213060694b
144bb289ac57a
1526688512257
hex1462631cb60

1400800136032 has 96 divisors (see below), whose sum is σ = 3101257926144. Its totient is φ = 617230886400.

The previous prime is 1400800136027. The next prime is 1400800136081. The reversal of 1400800136032 is 2306310080041.

It is a super-2 number, since 2×14008001360322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331063 + ... + 3727945.

It is an arithmetic number, because the mean of its divisors is an integer number (32304770064).

Almost surely, 21400800136032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400800136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550628963072).

1400800136032 is an abundant number, since it is smaller than the sum of its proper divisors (1700457790112).

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

1400800136032 is a wasteful number, since it uses less digits than its factorization.

1400800136032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397212 (or 397204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 1400800136032 in words is "one trillion, four hundred billion, eight hundred million, one hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 271 296 352 407 542 592 814 1084 1184 1628 2168 2981 3256 4336 5962 6512 8672 10027 11924 13024 20054 23848 40108 47696 80216 95392 110297 160432 220594 320864 396883 441188 793766 882376 1587532 1764752 3175064 3529504 4365713 6350128 8731426 12700256 14684671 17462852 29369342 34925704 58738684 69851408 107555293 117477368 139702816 161531381 215110586 234954736 323062762 430221172 469909472 646125524 860442344 1183108223 1292251048 1720884688 2366216446 2584502096 3441769376 3979545841 4732432892 5169004192 7959091682 9464865784 15918183364 18929731568 31836366728 37859463136 43775004251 63672733456 87550008502 127345466912 175100017004 350200034008 700400068016 1400800136032