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40385858304 = 283112434593
BaseRepresentation
bin100101100111001011…
…110100101100000000
310212020120010011120210
4211213023310230000
51130202234431204
630315241034120
72626541063061
oct454713645400
9125216104523
1040385858304
1116144845100
1279b1185940
133a67cb209c
141d51930568
1510b5805389
hex9672f4b00

40385858304 has 108 divisors (see below), whose sum is σ = 118145248088. Its totient is φ = 12238110720.

The previous prime is 40385858281. The next prime is 40385858323.

40385858304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124369 + ... + 310224.

Almost surely, 240385858304 is an apocalyptic number.

40385858304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40385858304 is an abundant number, since it is smaller than the sum of its proper divisors (77759389784).

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

40385858304 is a wasteful number, since it uses less digits than its factorization.

40385858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434634 (or 434609 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 40385858304 in words is "forty billion, three hundred eighty-five million, eight hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 434593 869186 1303779 1738372 2607558 3476744 4780523 5215116 6953488 9561046 10430232 13906976 14341569 19122092 20860464 27813952 28683138 38244184 41720928 52585753 55627904 57366276 76488368 83441856 105171506 111255808 114732552 152976736 157757259 166883712 210343012 229465104 305953472 315514518 333767424 420686024 458930208 611906944 631029036 841372048 917860416 1223813888 1262058072 1682744096 1835720832 2524116144 3365488192 3671441664 5048232288 6730976384 10096464576 13461952768 20192929152 40385858304