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1000090628040 = 233577583157007
BaseRepresentation
bin11101000110110100000…
…10111110111111001000
310112121102000221210210010
432203122002332333020
5112341141200044130
62043234004551520
7132153115035510
oct16433202767710
93477360853703
101000090628040
113561550a60a9
121419a83b25a0
1373400caa5ba
14365944b8840
151b0346b90b0
hexe8da0befc8

1000090628040 has 128 divisors (see below), whose sum is σ = 3429356175360. Its totient is φ = 228560542464.

The previous prime is 1000090627999. The next prime is 1000090628077. The reversal of 1000090628040 is 408260900001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1000090627989 and 1000090628007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6291217 + ... + 6448223.

It is an arithmetic number, because the mean of its divisors is an integer number (26791845120).

Almost surely, 21000090628040 is an apocalyptic number.

1000090628040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000090628040 is an abundant number, since it is smaller than the sum of its proper divisors (2429265547320).

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

1000090628040 is a wasteful number, since it uses less digits than its factorization.

1000090628040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164611 (or 164607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1000090628040 in words is "one trillion, ninety million, six hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 7583 15166 22749 30332 37915 45498 53081 60664 75830 90996 106162 113745 151660 157007 159243 181992 212324 227490 265405 303320 314014 318486 424648 454980 471021 530810 628028 636972 785035 796215 909960 942042 1061620 1099049 1256056 1273944 1570070 1592430 1884084 2123240 2198098 2355105 3140140 3184860 3297147 3768168 4396196 4710210 5495245 6280280 6369720 6594294 8792392 9420420 10990490 13188588 16485735 18840840 21980980 26377176 32971470 43961960 65942940 131885880 1190584081 2381168162 3571752243 4762336324 5952920405 7143504486 8334088567 9524672648 11905840810 14287008972 16668177134 17858761215 23811681620 25002265701 28574017944 33336354268 35717522430 41670442835 47623363240 50004531402 66672708536 71435044860 83340885670 100009062804 125011328505 142870089720 166681771340 200018125608 250022657010 333363542680 500045314020 1000090628040