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1003381514080 = 25511619345953
BaseRepresentation
bin11101001100111100011…
…00101101111101100000
310112220220101100010202021
432212132030231331200
5112414411131422310
62044540324031224
7132330505101451
oct16463614557540
93486811303667
101003381514080
11357593785530
12142566532514
1373806a1b44a
14367c75a1128
151b17856b5da
hexe99e32df60

1003381514080 has 96 divisors (see below), whose sum is σ = 2628381335328. Its totient is φ = 358884556800.

The previous prime is 1003381514077. The next prime is 1003381514089. The reversal of 1003381514080 is 804151833001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003381514089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4565617 + ... + 4780336.

It is an arithmetic number, because the mean of its divisors is an integer number (27378972243).

Almost surely, 21003381514080 is an apocalyptic number.

1003381514080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003381514080 is an abundant number, since it is smaller than the sum of its proper divisors (1624999821248).

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

1003381514080 is a wasteful number, since it uses less digits than its factorization.

1003381514080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346040 (or 9346032 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 1003381514080 in words is "one trillion, three billion, three hundred eighty-one million, five hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 107360 9345953 18691906 37383812 46729765 74767624 93459530 102805483 149535248 186919060 205610966 299070496 373838120 411221932 514027415 570103133 747676240 822443864 1028054830 1140206266 1495352480 1644887728 2056109660 2280412532 2850515665 3289775456 4112219320 4560825064 5701031330 6271134463 8224438640 9121650128 11402062660 12542268926 16448877280 18243300256 22804125320 25084537852 31355672315 45608250640 50169075704 62711344630 91216501280 100338151408 125422689260 200676302816 250845378520 501690757040 1003381514080