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1044027396132 = 2237231093494407
BaseRepresentation
bin11110011000101001110…
…00011101000000100100
310200210211001201212212020
433030110320131000210
5114101132003134012
62115341454223140
7135266654305350
oct17142470350044
93623731655766
101044027396132
1137285127a296
1214a40a7b4ab0
13775b3842526
143876185a460
151c256ad5a8c
hexf314e1d024

1044027396132 has 96 divisors (see below), whose sum is σ = 2907783524352. Its totient is φ = 285062633856.

The previous prime is 1044027396103. The next prime is 1044027396143. The reversal of 1044027396132 is 2316937204401.

It is a happy number.

It is a super-2 number, since 2×10440273961322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1864473 + ... + 2358879.

It is an arithmetic number, because the mean of its divisors is an integer number (30289411712).

Almost surely, 21044027396132 is an apocalyptic number.

1044027396132 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 1044027396132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453891762176).

1044027396132 is an abundant number, since it is smaller than the sum of its proper divisors (1863756128220).

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

1044027396132 is a wasteful number, since it uses less digits than its factorization.

1044027396132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495537 (or 495535 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 1044027396132 in words is "one trillion, forty-four billion, twenty-seven million, three hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1093 1932 2186 3279 4372 6558 7651 13116 15302 22953 25139 30604 45906 50278 75417 91812 100556 150834 175973 301668 351946 494407 527919 703892 988814 1055838 1483221 1977628 2111676 2966442 3460849 5932884 6921698 10382547 11371361 13843396 20765094 22742722 34114083 41530188 45485444 68228166 79599527 136456332 159199054 238798581 318398108 477597162 540386851 955194324 1080773702 1621160553 2161547404 3242321106 3782707957 6484642212 7565415914 11348123871 12428897573 15130831828 22696247742 24857795146 37286692719 45392495484 49715590292 74573385438 87002283011 149146770876 174004566022 261006849033 348009132044 522013698066 1044027396132