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10040014040 = 235747762919
BaseRepresentation
bin10010101100110111…
…00111010011011000
3221220201001120001212
421112123213103120
5131030220422130
64340132202252
7503541465650
oct112633472330
927821046055
1010040014040
114292365171
121b42469388
13c4008a514
146b35bb360
153db663e95
hex2566e74d8

10040014040 has 64 divisors (see below), whose sum is σ = 26366515200. Its totient is φ = 3369045888.

The previous prime is 10040014021. The next prime is 10040014081. The reversal of 10040014040 is 4041004001.

It is a Harshad number since it is a multiple of its sum of digits (14).

10040014040 is a modest number, since divided by 14040 gives 10040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368300 + ... + 394619.

It is an arithmetic number, because the mean of its divisors is an integer number (411976800).

Almost surely, 210040014040 is an apocalyptic number.

10040014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040014040 is an abundant number, since it is smaller than the sum of its proper divisors (16326501160).

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

10040014040 is a wasteful number, since it uses less digits than its factorization.

10040014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762984 (or 762980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10040014040 its reverse (4041004001), we get a palindrome (14081018041).

The spelling of 10040014040 in words is "ten billion, forty million, fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 762919 1525838 3051676 3814595 5340433 6103352 7629190 10680866 15258380 21361732 26702165 30516760 35857193 42723464 53404330 71714386 106808660 143428772 179285965 213617320 251000351 286857544 358571930 502000702 717143860 1004001404 1255001755 1434287720 2008002808 2510003510 5020007020 10040014040