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40451414304 = 2537211285287
BaseRepresentation
bin100101101011000101…
…111001100100100000
310212102010110202111210
4211223011321210200
51130321030224204
630325542110120
72631265230330
oct455305714440
9125363422453
1040451414304
1116178850314
127a0b11b340
133a78755c12
141d5a5170c0
1510bb454389
hex96b179920

40451414304 has 96 divisors (see below), whose sum is σ = 121929808896. Its totient is φ = 11502731520.

The previous prime is 40451414293. The next prime is 40451414359. The reversal of 40451414304 is 40341415404.

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

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, 852 + ... + 284435.

It is an arithmetic number, because the mean of its divisors is an integer number (1270102176).

Almost surely, 240451414304 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 40451414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60964904448).

40451414304 is an abundant number, since it is smaller than the sum of its proper divisors (81478394592).

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

40451414304 is a wasteful number, since it uses less digits than its factorization.

40451414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285518 (or 285510 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 40451414304 its reverse (40341415404), we get a palindrome (80792829708).

The spelling of 40451414304 in words is "forty billion, four hundred fifty-one million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 17724 20256 23632 35448 47264 70896 141792 285287 570574 855861 1141148 1711722 1997009 2282296 3423444 3994018 4564592 5991027 6846888 7988036 9129184 11982054 13693776 15976072 23964108 27387552 31952144 47928216 60195557 63904288 95856432 120391114 180586671 191712864 240782228 361173342 421368899 481564456 722346684 842737798 963128912 1264106697 1444693368 1685475596 1926257824 2528213394 2889386736 3370951192 5056426788 5778773472 6741902384 10112853576 13483804768 20225707152 40451414304