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45323055342400 = 2652112575173599
BaseRepresentation
bin10100100111000100110001…
…00111010010001101000000
312221110211201122122220120011
422103202120213102031000
521420033104131424100
6240221042453554304
712355324363646113
oct1223423047221500
9187424648586504
1045323055342400
1113494444197910
1250bbab3645994
131c39c3ab55764
14b2990cd7a57a
15538e53bdebba
hex2938989d2340

45323055342400 has 84 divisors (see below), whose sum is σ = 121661501558400. Its totient is φ = 16481111027200.

The previous prime is 45323055342373. The next prime is 45323055342401. The reversal of 45323055342400 is 424355032354.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45323055342401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287569200 + ... + 1287604399.

Almost surely, 245323055342400 is an apocalyptic number.

45323055342400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45323055342400 is an abundant number, since it is smaller than the sum of its proper divisors (76338446216000).

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

45323055342400 is a wasteful number, since it uses less digits than its factorization.

45323055342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575173632 (or 2575173617 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 45323055342400 in words is "forty-five trillion, three hundred twenty-three billion, fifty-five million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 2575173599 5150347198 10300694396 12875867995 20601388792 25751735990 28326909589 41202777584 51503471980 56653819178 64379339975 82405555168 103006943960 113307638356 128758679950 141634547945 164811110336 206013887920 226615276712 257517359900 283269095890 412027775840 453230553424 515034719800 566538191780 708172739725 824055551680 906461106848 1030069439600 1133076383560 1416345479450 1812922213696 2060138879200 2266152767120 2832690958900 4120277758400 4532305534240 5665381917800 9064611068480 11330763835600 22661527671200 45323055342400