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1003157442378 = 2327134314242517
BaseRepresentation
bin11101001100100001101…
…01111100111101001010
310112220022202201010011100
432212100311330331022
5112413431301124003
62044502201242230
7132322114366260
oct16462065747512
93486282633140
101003157442378
11357489251103
12142503493376
137379c486640
14367a5914430
151b163a59ba3
hexe990d7cf4a

1003157442378 has 96 divisors (see below), whose sum is σ = 2737298019456. Its totient is φ = 258416210304.

The previous prime is 1003157442361. The next prime is 1003157442439. The reversal of 1003157442378 is 8732447513001.

1003157442378 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 574 + 4 + 2 + 3 + 78 = 666.

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, 7050825 + ... + 7191692.

It is an arithmetic number, because the mean of its divisors is an integer number (28513521036).

Almost surely, 21003157442378 is an apocalyptic number.

1003157442378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1003157442378 is an abundant number, since it is smaller than the sum of its proper divisors (1734140577078).

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

1003157442378 is a wasteful number, since it uses less digits than its factorization.

1003157442378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14242588 (or 14242585 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1003157442378 in words is "one trillion, three billion, one hundred fifty-seven million, four hundred forty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 387 546 559 602 774 819 903 1118 1638 1677 1806 2709 3354 3913 5031 5418 7826 10062 11739 23478 35217 70434 14242517 28485034 42727551 85455102 99697619 128182653 185152721 199395238 256365306 299092857 370305442 555458163 598185714 612428231 897278571 1110916326 1224856462 1296069047 1666374489 1794557142 1837284693 2592138094 3332748978 3674569386 3888207141 4286997617 5511854079 7776414282 7961567003 8573995234 11023708158 11664621423 12860992851 15923134006 23329242846 23884701009 25721985702 38582978553 47769402018 55730969021 71654103027 77165957106 111461938042 143308206054 167192907063 334385814126 501578721189 1003157442378