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45402540304 = 24112334092707
BaseRepresentation
bin101010010010001100…
…111100100100010000
311100012011220000112211
4222102030330210100
51220441022242204
632505130001504
73165055140112
oct522214744420
9140164800484
1045402540304
1118289606590
128971276294
134387431a84
1422a9cd53b2
1512aae54804
hexa9233c910

45402540304 has 80 divisors (see below), whose sum is σ = 96647653440. Its totient is φ = 20491130880.

The previous prime is 45402540283. The next prime is 45402540307. The reversal of 45402540304 is 40304520454.

It is a super-2 number, since 2×454025403042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45402540307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16770919 + ... + 16773625.

It is an arithmetic number, because the mean of its divisors is an integer number (1208095668).

Almost surely, 245402540304 is an apocalyptic number.

45402540304 is a gapful number since it is divisible by the number (44) 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 45402540304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48323826720).

45402540304 is an abundant number, since it is smaller than the sum of its proper divisors (51245113136).

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

45402540304 is a wasteful number, since it uses less digits than its factorization.

45402540304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The spelling of 45402540304 in words is "forty-five billion, four hundred two million, five hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 409 466 818 932 1636 1864 2563 2707 3272 3728 4499 5126 5414 6544 8998 10252 10828 17996 20504 21656 29777 35992 41008 43312 59554 71984 95297 119108 190594 238216 381188 476432 630731 762376 1048267 1107163 1261462 1524752 2096534 2214326 2522924 4193068 4428652 5045848 6938041 8386136 8857304 10091696 12178793 13876082 16772272 17714608 24357586 27752164 48715172 55504328 97430344 111008656 194860688 257968979 515937958 1031875916 2063751832 2837658769 4127503664 5675317538 11350635076 22701270152 45402540304