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40324210120 = 23517417319813
BaseRepresentation
bin100101100011100000…
…101001110111001000
310212002021010010011201
4211203200221313020
51130040444210440
630305155433544
72625162062545
oct454340516710
9125067103151
1040324210120
1116112a68997
1279945b58b4
133a582a8b7c
141d47683bcc
1510b01c919a
hex963829dc8

40324210120 has 128 divisors (see below), whose sum is σ = 99762697440. Its totient is φ = 14606991360.

The previous prime is 40324210067. The next prime is 40324210123. The reversal of 40324210120 is 2101242304.

It can be written as a sum of positive squares in 16 ways, for example, as 856030564 + 39468179556 = 29258^2 + 198666^2 .

It is not an unprimeable number, because it can be changed into a prime (40324210123) 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, 2025334 + ... + 2045146.

Almost surely, 240324210120 is an apocalyptic number.

40324210120 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 40324210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49881348720).

40324210120 is an abundant number, since it is smaller than the sum of its proper divisors (59438487320).

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

40324210120 is a wasteful number, since it uses less digits than its factorization.

40324210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19955 (or 19951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 40324210120 its reverse (2101242304), we get a palindrome (42425452424).

The spelling of 40324210120 in words is "forty billion, three hundred twenty-four million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 73 82 85 136 146 164 170 205 292 328 340 365 410 584 680 697 730 820 1241 1394 1460 1640 2482 2788 2920 2993 3485 4964 5576 5986 6205 6970 9928 11972 12410 13940 14965 19813 23944 24820 27880 29930 39626 49640 50881 59860 79252 99065 101762 119720 158504 198130 203524 254405 336821 396260 407048 508810 673642 792520 812333 1017620 1347284 1446349 1624666 1684105 2035240 2694568 2892698 3249332 3368210 4061665 5785396 6498664 6736420 7231745 8123330 11570792 13472840 13809661 14463490 16246660 24587933 27619322 28926980 32493320 49175866 55238644 57853960 59300309 69048305 98351732 110477288 118600618 122939665 138096610 196703464 237201236 245879330 276193220 296501545 474402472 491758660 552386440 593003090 983517320 1008105253 1186006180 2016210506 2372012360 4032421012 5040526265 8064842024 10081052530 20162105060 40324210120