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40384989888 = 263475637949
BaseRepresentation
bin100101100111001000…
…100000101011000000
310212020111111001100020
4211213020200223000
51130202024134023
630315210253440
72626530515205
oct454710405300
9125214431306
1040384989888
1116144301701
1279b0a27280
133a67a69a29
141d51785cac
1510b56d2de3
hex967220ac0

40384989888 has 112 divisors (see below), whose sum is σ = 109332979200. Its totient is φ = 13150188544.

The previous prime is 40384989851. The next prime is 40384989893. The reversal of 40384989888 is 88898948304.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5076538 + ... + 5084486.

Almost surely, 240384989888 is an apocalyptic number.

40384989888 is a gapful number since it is divisible by the number (48) 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 40384989888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54666489600).

40384989888 is an abundant number, since it is smaller than the sum of its proper divisors (68947989312).

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

40384989888 is a wasteful number, since it uses less digits than its factorization.

40384989888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 69.

The spelling of 40384989888 in words is "forty billion, three hundred eighty-four million, nine hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 563 564 752 1126 1128 1504 1689 2252 2256 3008 3378 4504 4512 6756 7949 9008 9024 13512 15898 18016 23847 26461 27024 31796 36032 47694 52922 54048 63592 79383 95388 105844 108096 127184 158766 190776 211688 254368 317532 373603 381552 423376 508736 635064 747206 763104 846752 1120809 1270128 1494412 1526208 1693504 2241618 2540256 2988824 4475287 4483236 5080512 5977648 8950574 8966472 11955296 13425861 17901148 17932944 23910592 26851722 35802296 35865888 53703444 71604592 71731776 107406888 143209184 210338489 214813776 286418368 420676978 429627552 631015467 841353956 859255104 1262030934 1682707912 2524061868 3365415824 5048123736 6730831648 10096247472 13461663296 20192494944 40384989888