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40396065040 = 245172910110141
BaseRepresentation
bin100101100111110010…
…110000100100010000
310212021021022201121001
4211213302300210100
51130212343040130
630320243511344
72630023613242
oct454762604420
9125237281531
1040396065040
111614a586621
1279b4688554
133a6a146a86
141d5302a092
1510b666e6ca
hex967cb0910

40396065040 has 160 divisors (see below), whose sum is σ = 103903572960. Its totient is φ = 14536704000.

The previous prime is 40396065029. The next prime is 40396065049. The reversal of 40396065040 is 4056069304.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1351885824 + 39044179216 = 36768^2 + 197596^2 .

It is not an unprimeable number, because it can be changed into a prime (40396065049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3978370 + ... + 3988510.

It is an arithmetic number, because the mean of its divisors is an integer number (649397331).

Almost surely, 240396065040 is an apocalyptic number.

40396065040 is a gapful number since it is divisible by the number (40) 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 40396065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51951786480).

40396065040 is an abundant number, since it is smaller than the sum of its proper divisors (63507507920).

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

40396065040 is a wasteful number, since it uses less digits than its factorization.

40396065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 40396065040 in words is "forty billion, three hundred ninety-six million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 101 116 136 145 170 202 232 272 290 340 404 464 493 505 580 680 808 986 1010 1160 1360 1616 1717 1972 2020 2320 2465 2929 3434 3944 4040 4930 5858 6868 7888 8080 8585 9860 10141 11716 13736 14645 17170 19720 20282 23432 27472 29290 34340 39440 40564 46864 49793 50705 58580 68680 81128 99586 101410 117160 137360 162256 172397 199172 202820 234320 248965 294089 344794 398344 405640 497930 588178 689588 796688 811280 861985 995860 1024241 1176356 1379176 1470445 1723970 1991720 2048482 2352712 2758352 2940890 3447940 3983440 4096964 4705424 4999513 5121205 5881780 6895880 8193928 9999026 10242410 11763560 13791760 16387856 17412097 19998052 20484820 23527120 24997565 29702989 34824194 39996104 40969640 49995130 59405978 69648388 79992208 81939280 87060485 99990260 118811956 139296776 148514945 174120970 199980520 237623912 278593552 297029890 348241940 399961040 475247824 504950813 594059780 696483880 1009901626 1188119560 1392967760 2019803252 2376239120 2524754065 4039606504 5049508130 8079213008 10099016260 20198032520 40396065040