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4725442944640 = 275112074732353
BaseRepresentation
bin100010011000011101001…
…0110010001111010000000
3121201202012020120121022001
41010300322112101322000
51104410201343212030
614014501041553344
7665254611203605
oct104607226217200
917652166517261
104725442944640
11156205a394140
126439a5345854
132837b84983b2
141249d97706ac
1582dbda7ccca
hex44c3a591e80

4725442944640 has 128 divisors (see below), whose sum is σ = 12324715341120. Its totient is φ = 1718206955520.

The previous prime is 4725442944637. The next prime is 4725442944653. The reversal of 4725442944640 is 464492445274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×47254429446402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 15 ways as a sum of consecutive naturals, for example, 146042704 + ... + 146075056.

Almost surely, 24725442944640 is an apocalyptic number.

4725442944640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4725442944640 is an abundant number, since it is smaller than the sum of its proper divisors (7599272396480).

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

4725442944640 is a wasteful number, since it uses less digits than its factorization.

4725442944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53130 (or 53118 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 55.

The spelling of 4725442944640 in words is "four trillion, seven hundred twenty-five billion, four hundred forty-two million, nine hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 20747 32353 41494 64706 82988 103735 129412 161765 165976 207470 228217 258824 323530 331952 355883 414940 456434 517648 647060 663904 711766 829880 912868 1035296 1141085 1294120 1327808 1423532 1659760 1779415 1825736 2070592 2282170 2588240 2655616 2847064 3319520 3558830 3651472 4141184 4564340 5176480 5694128 6639040 7117660 7302944 9128680 10352960 11388256 13278080 14235320 14605888 18257360 20705920 22776512 28470640 29211776 36514720 45553024 56941280 73029440 113882560 146058880 227765120 671227691 1342455382 2684910764 3356138455 5369821528 6712276910 7383504601 10739643056 13424553820 14767009202 21479286112 26849107640 29534018404 36917523005 42958572224 53698215280 59068036808 73835046010 85917144448 107396430560 118136073616 147670092020 214792861120 236272147232 295340184040 429585722240 472544294464 590680368080 945088588928 1181360736160 2362721472320 4725442944640