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1008995130040 = 235237477146681
BaseRepresentation
bin11101010111011001100…
…10111101101010111000
310120110101121100101011111
432223230302331222320
5113012410223130130
62051305335210104
7132616561044652
oct16535462755270
93513347311144
101008995130040
11359a044a0267
12143672516934
13741bca322b1
1436b9ad516d2
151b3a62d002a
hexeaeccbdab8

1008995130040 has 64 divisors (see below), whose sum is σ = 2369278071360. Its totient is φ = 385996047360.

The previous prime is 1008995129999. The next prime is 1008995130041. The reversal of 1008995130040 is 400315998001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1008995129975 and 1008995130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008995130041) 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, 6805500 + ... + 6952180.

It is an arithmetic number, because the mean of its divisors is an integer number (37019969865).

Almost surely, 21008995130040 is an apocalyptic number.

1008995130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008995130040 is an abundant number, since it is smaller than the sum of its proper divisors (1360282941320).

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

1008995130040 is a wasteful number, since it uses less digits than its factorization.

1008995130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154192 (or 154188 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 1008995130040 in words is "one trillion, eight billion, nine hundred ninety-five million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 7477 14954 29908 37385 59816 74770 146681 149540 171971 293362 299080 343942 586724 687884 733405 859855 1173448 1375768 1466810 1719710 2933620 3373663 3439420 5867240 6747326 6878840 13494652 16868315 26989304 33736630 67473260 134946520 1096733837 2193467674 4386935348 5483669185 8773870696 10967338370 21934676740 25224878251 43869353480 50449756502 100899513004 126124391255 201799026008 252248782510 504497565020 1008995130040