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1420107027372 = 22321144363112829
BaseRepresentation
bin10100101010100100111…
…110011001001110101100
312000202112200220121200100
4110222210332121032230
5141231334344333442
63004215502031100
7204412401365055
oct24524476311654
95022480817610
101420107027372
114a829a438590
121ab286b78490
13a3bb9515ac7
144ca3abd172c
1526e184bc84c
hex14aa4f993ac

1420107027372 has 144 divisors (see below), whose sum is σ = 3931419098880. Its totient is φ = 428650185600.

The previous prime is 1420107027349. The next prime is 1420107027431. The reversal of 1420107027372 is 2737207010241.

1420107027372 is a `hidden beast` number, since 14 + 201 + 0 + 70 + 2 + 7 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110688654 + ... + 110701482.

It is an arithmetic number, because the mean of its divisors is an integer number (27301521520).

Almost surely, 21420107027372 is an apocalyptic number.

1420107027372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420107027372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965709549440).

1420107027372 is an abundant number, since it is smaller than the sum of its proper divisors (2511312071508).

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

1420107027372 is a wasteful number, since it uses less digits than its factorization.

1420107027372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13919 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 1420107027372 in words is "one trillion, four hundred twenty billion, one hundred seven million, twenty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 443 631 886 1262 1329 1772 1893 2524 2658 3786 3987 4873 5316 5679 6941 7572 7974 9746 11358 12829 13882 14619 15948 19492 20823 22716 25658 27764 29238 38487 41646 43857 51316 58476 62469 76974 83292 87714 115461 124938 141119 153948 175428 230922 249876 279533 282238 423357 461844 559066 564476 838599 846714 1118132 1270071 1677198 1693428 2515797 2540142 3074863 3354396 5031594 5080284 5683247 6149726 8095099 9224589 10063188 11366494 12299452 16190198 17049741 18449178 22732988 24285297 27673767 32380396 34099482 36898356 48570594 51149223 55347534 62515717 68198964 72855891 89046089 97141188 102298446 110695068 125031434 145711782 178092178 187547151 204596892 250062868 267138267 291423564 356184356 375094302 534276534 562641453 750188604 801414801 1068553068 1125282906 1602829602 2250565812 3205659204 3586128857 7172257714 10758386571 14344515428 21516773142 32275159713 39447417427 43033546284 64550319426 78894834854 118342252281 129100638852 157789669708 236684504562 355026756843 473369009124 710053513686 1420107027372