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40382498688 = 273731484621
BaseRepresentation
bin100101100110111111…
…000000011110000000
310212020022210111001120
4211212333000132000
51130200404424223
630315041032240
72626500401220
oct454677003600
9125208714046
1040382498688
111614295aa64
1279b0025680
133a673a6b4c
141d512d8080
1510b538ebe3
hex966fc0780

40382498688 has 128 divisors (see below), whose sum is σ = 126544496640. Its totient is φ = 11165644800.

The previous prime is 40382498641. The next prime is 40382498693. The reversal of 40382498688 is 88689428304.

It is a tau number, because it is divible by the number of its divisors (128).

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, 158983 + ... + 325638.

It is an arithmetic number, because the mean of its divisors is an integer number (988628880).

Almost surely, 240382498688 is an apocalyptic number.

40382498688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40382498688 is an abundant number, since it is smaller than the sum of its proper divisors (86161997952).

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

40382498688 is a wasteful number, since it uses less digits than its factorization.

40382498688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484676 (or 484664 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 40382498688 in words is "forty billion, three hundred eighty-two million, four hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 484621 969242 1453863 1938484 2907726 3392347 3876968 5815452 6784694 7753936 10177041 11630904 13569388 15023251 15507872 20354082 23261808 27138776 30046502 31015744 40708164 45069753 46523616 54277552 60093004 62031488 81416328 90139506 93047232 105162757 108555104 120186008 162832656 180279012 186094464 210325514 217110208 240372016 315488271 325665312 360558024 420651028 434220416 480744032 630976542 651330624 721116048 841302056 961488064 1261953084 1302661248 1442232096 1682604112 1922976128 2523906168 2884464192 3365208224 5047812336 5768928384 6730416448 10095624672 13460832896 20191249344 40382498688