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40389208992 = 25321124775147
BaseRepresentation
bin100101100111011000…
…100110101110100000
310212020210102101212100
4211213120212232200
51130204114141432
630315440530400
72626611416616
oct454730465640
9125223371770
1040389208992
1116146723570
1279b2320a00
133a688b6242
141d521636b6
1510b5c6807c
hex967626ba0

40389208992 has 144 divisors (see below), whose sum is σ = 125373280032. Its totient is φ = 12231836160.

The previous prime is 40389208961. The next prime is 40389208997. The reversal of 40389208992 is 29980298304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (40389208997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7844563 + ... + 7849709.

It is an arithmetic number, because the mean of its divisors is an integer number (870647778).

Almost surely, 240389208992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40389208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62686640016).

40389208992 is an abundant number, since it is smaller than the sum of its proper divisors (84984071040).

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

40389208992 is a wasteful number, since it uses less digits than its factorization.

40389208992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 40389208992 in words is "forty billion, three hundred eighty-nine million, two hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2477 3168 4954 5147 7431 9908 10294 14862 15441 19816 20588 22293 27247 29724 30882 39632 41176 44586 46323 54494 56617 59448 61764 79264 81741 82352 89172 92646 108988 113234 118896 123528 163482 164704 169851 178344 185292 217976 226468 237792 245223 247056 326964 339702 356688 370584 435952 452936 490446 494112 509553 653928 679404 713376 741168 871904 905872 980892 1019106 1307856 1358808 1482336 1811744 1961784 2038212 2615712 2717616 3923568 4076424 5435232 7847136 8152848 12749119 16305696 25498238 38247357 50996476 76494714 101992952 114742071 140240309 152989428 203985904 229484142 280480618 305978856 407971808 420720927 458968284 560961236 611957712 841441854 917936568 1121922472 1223915424 1262162781 1682883708 1835873136 2243844944 2524325562 3365767416 3671746272 4487689888 5048651124 6731534832 10097302248 13463069664 20194604496 40389208992