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10134531040 = 255471976841
BaseRepresentation
bin10010111000001000…
…01010101111100000
3222011021220112000111
421130010022233200
5131223414443130
64353350101104
7506100043504
oct113404125740
928137815014
1010134531040
114330751197
121b6a04a794
13c5683143a
146c1d82304
153e4ad402a
hex25c10abe0

10134531040 has 96 divisors (see below), whose sum is σ = 24579967104. Its totient is φ = 3946844160.

The previous prime is 10134530957. The next prime is 10134531059. The reversal of 10134531040 is 4013543101.

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, 1478020 + ... + 1484860.

It is an arithmetic number, because the mean of its divisors is an integer number (256041324).

Almost surely, 210134531040 is an apocalyptic number.

10134531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289983552).

10134531040 is an abundant number, since it is smaller than the sum of its proper divisors (14445436064).

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

10134531040 is a wasteful number, since it uses less digits than its factorization.

10134531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 10134531040 in words is "ten billion, one hundred thirty-four million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 197 235 376 394 470 752 788 940 985 1504 1576 1880 1970 3152 3760 3940 6304 6841 7520 7880 9259 13682 15760 18518 27364 31520 34205 37036 46295 54728 68410 74072 92590 109456 136820 148144 185180 218912 273640 296288 321527 370360 547280 643054 740720 1094560 1286108 1347677 1481440 1607635 2572216 2695354 3215270 5144432 5390708 6430540 6738385 10288864 10781416 12861080 13476770 21562832 25722160 26953540 43125664 51444320 53907080 63340819 107814160 126681638 215628320 253363276 316704095 506726552 633408190 1013453104 1266816380 2026906208 2533632760 5067265520 10134531040