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45354131040 = 253594487773
BaseRepresentation
bin101010001111010100…
…010001111001100000
311100001210210120112010
4222033110101321200
51220341124143130
632500240232520
73163626516201
oct521724217140
9140053716463
1045354131040
1118264251a29
12895900b740
13437a3b273a
1422a36d35a8
1512a6a910b0
hexa8f511e60

45354131040 has 48 divisors (see below), whose sum is σ = 142865514288. Its totient is φ = 12094434816.

The previous prime is 45354131027. The next prime is 45354131063. The reversal of 45354131040 is 4013145354.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45354130989 and 45354131007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47243407 + ... + 47244366.

It is an arithmetic number, because the mean of its divisors is an integer number (2976364881).

Almost surely, 245354131040 is an apocalyptic number.

45354131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45354131040 is an abundant number, since it is smaller than the sum of its proper divisors (97511383248).

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

45354131040 is a wasteful number, since it uses less digits than its factorization.

45354131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94487791 (or 94487783 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 45354131040 its reverse (4013145354), we get a palindrome (49367276394).

The spelling of 45354131040 in words is "forty-five billion, three hundred fifty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 94487773 188975546 283463319 377951092 472438865 566926638 755902184 944877730 1133853276 1417316595 1511804368 1889755460 2267706552 2834633190 3023608736 3779510920 4535413104 5669266380 7559021840 9070826208 11338532760 15118043680 22677065520 45354131040