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45814130340 = 223511139499391
BaseRepresentation
bin101010101010101111…
…000010011010100100
311101020212100221221020
4222222233002122210
51222311404132330
633014031451140
73211213453056
oct525257023244
9141225327836
1045814130340
111847a978240
128a67086ab0
1344217a0884
1423088358d6
1512d2157210
hexaaabc26a4

45814130340 has 96 divisors (see below), whose sum is σ = 140948398080. Its totient is φ = 11026531200.

The previous prime is 45814130339. The next prime is 45814130423. The reversal of 45814130340 is 4303141854.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 157956 + ... + 341435.

It is an arithmetic number, because the mean of its divisors is an integer number (1468212480).

Almost surely, 245814130340 is an apocalyptic number.

It is an amenable number.

45814130340 is an abundant number, since it is smaller than the sum of its proper divisors (95134267740).

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

45814130340 is a wasteful number, since it uses less digits than its factorization.

45814130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499553 (or 499551 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 45814130340 in words is "forty-five billion, eight hundred fourteen million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1668 2085 2780 3058 4170 4587 6116 7645 8340 9174 15290 18348 22935 30580 45870 91740 499391 998782 1498173 1997564 2496955 2996346 4993910 5493301 5992692 7490865 9987820 10986602 14981730 16479903 21973204 27466505 29963460 32959806 54933010 65919612 69415349 82399515 109866020 138830698 164799030 208246047 277661396 329598060 347076745 416492094 694153490 763568839 832984188 1041230235 1388306980 1527137678 2082460470 2290706517 3054275356 3817844195 4164920940 4581413034 7635688390 9162826068 11453532585 15271376780 22907065170 45814130340