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40684399488 = 273269151109
BaseRepresentation
bin100101111000111110…
…101010101110000000
310220000100212122002200
4211320332222232000
51131310201240423
630405023513200
72640124455405
oct457076525600
9126010778080
1040684399488
1116288312557
127a75158800
133ab4abbb85
141d7d4442ac
1510d1b26d43
hex978faab80

40684399488 has 96 divisors (see below), whose sum is σ = 117245317800. Its totient is φ = 13541575680.

The previous prime is 40684399391. The next prime is 40684399499. The reversal of 40684399488 is 88499348604.

40684399488 is a `hidden beast` number, since 4 + 0 + 68 + 4 + 3 + 99 + 488 = 666.

40684399488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 770478 + ... + 821586.

Almost surely, 240684399488 is an apocalyptic number.

40684399488 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 40684399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58622658900).

40684399488 is an abundant number, since it is smaller than the sum of its proper divisors (76560918312).

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

40684399488 is a wasteful number, since it uses less digits than its factorization.

40684399488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51820 (or 51805 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 40684399488 in words is "forty billion, six hundred eighty-four million, three hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 691 1152 1382 2073 2764 4146 5528 6219 8292 11056 12438 16584 22112 24876 33168 44224 49752 51109 66336 88448 99504 102218 132672 153327 199008 204436 265344 306654 398016 408872 459981 613308 796032 817744 919962 1226616 1635488 1839924 2453232 3270976 3679848 4906464 6541952 7359696 9812928 14719392 19625856 29438784 35316319 58877568 70632638 105948957 141265276 211897914 282530552 317846871 423795828 565061104 635693742 847591656 1130122208 1271387484 1695183312 2260244416 2542774968 3390366624 4520488832 5085549936 6780733248 10171099872 13561466496 20342199744 40684399488