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40010253100 = 225217297910273
BaseRepresentation
bin100101010000110011…
…000000001100101100
310211021101100110002221
4211100303000030230
51123420111044400
630214102325124
72614330353136
oct452063001454
9124241313087
1040010253100
1115a71821384
1279074297a4
133a0823239c
141d17aba056
15109285ec1a
hex950cc032c

40010253100 has 144 divisors (see below), whose sum is σ = 96312585600. Its totient is φ = 14357790720.

The previous prime is 40010252987. The next prime is 40010253121. The reversal of 40010253100 is 135201004.

It is a super-2 number, since 2×400102531002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889564 + ... + 3899836.

It is an arithmetic number, because the mean of its divisors is an integer number (668837400).

Almost surely, 240010253100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40010253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48156292800).

40010253100 is an abundant number, since it is smaller than the sum of its proper divisors (56302332500).

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

40010253100 is a wasteful number, since it uses less digits than its factorization.

40010253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 40010253100 its reverse (135201004), we get a palindrome (40145454104).

The spelling of 40010253100 in words is "forty billion, ten million, two hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 79 85 100 116 145 158 170 290 316 340 395 425 493 580 725 790 850 986 1343 1450 1580 1700 1972 1975 2291 2465 2686 2900 3950 4582 4930 5372 6715 7900 9164 9860 10273 11455 12325 13430 20546 22910 24650 26860 33575 38947 41092 45820 49300 51365 57275 67150 77894 102730 114550 134300 155788 174641 194735 205460 229100 256825 297917 349282 389470 513650 595834 698564 778940 811567 873205 973675 1027300 1191668 1489585 1623134 1746410 1947350 2979170 3246268 3492820 3894700 4057835 4366025 5064589 5958340 7447925 8115670 8732050 10129178 13796639 14895850 16231340 17464100 20258356 20289175 23535443 25322945 27593278 29791700 40578350 47070886 50645890 55186556 68983195 81156700 94141772 101291780 117677215 126614725 137966390 235354430 253229450 275932780 344915975 400102531 470708860 506458900 588386075 689831950 800205062 1176772150 1379663900 1600410124 2000512655 2353544300 4001025310 8002050620 10002563275 20005126550 40010253100