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140215426164 = 223411165723743
BaseRepresentation
bin1000001010010101111…
…1011001110001110100
3111101220212001122220000
42002211133121301310
54244130122114124
6144225235111300
713062445312632
oct2024537316164
9441825048800
10140215426164
1154512a52aa0
1223211a42530
13102b73ba8b8
146b020a8352
1539a9ac66c9
hex20a57d9c74

140215426164 has 120 divisors (see below), whose sum is σ = 400131798528. Its totient is φ = 42462092160.

The previous prime is 140215426157. The next prime is 140215426177. The reversal of 140215426164 is 461624512041.

140215426164 is a `hidden beast` number, since 1 + 4 + 0 + 215 + 426 + 16 + 4 = 666.

140215426164 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5893677 + ... + 5917419.

Almost surely, 2140215426164 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 140215426164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200065899264).

140215426164 is an abundant number, since it is smaller than the sum of its proper divisors (259916372364).

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

140215426164 is a wasteful number, since it uses less digits than its factorization.

140215426164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25427 (or 25416 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 140215426164 in words is "one hundred forty billion, two hundred fifteen million, four hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1657 1782 3314 3564 4971 6628 9942 14913 18227 19884 23743 29826 36454 44739 47486 54681 59652 71229 72908 89478 94972 109362 134217 142458 164043 178956 213687 218724 261173 268434 284916 328086 427374 492129 522346 536868 641061 656172 783519 854748 984258 1044692 1282122 1476387 1567038 1923183 1968516 2350557 2564244 2952774 3134076 3846366 4701114 5905548 7051671 7692732 9402228 14103342 21155013 28206684 39342151 42310026 78684302 84620052 118026453 157368604 236052906 354079359 432763661 472105812 708158718 865527322 1062238077 1298290983 1416317436 1731054644 2124476154 2596581966 3186714231 3894872949 4248952308 5193163932 6373428462 7789745898 11684618847 12746856924 15579491796 23369237694 35053856541 46738475388 70107713082 140215426164