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44245123965 = 3357194160103
BaseRepresentation
bin101001001101001101…
…110000001101111101
311020012112000011211000
4221031031300031331
51211103222431330
632154222320513
73124302230340
oct511515601575
9136175004730
1044245123965
1117845245559
1286a9729139
1342316ca133
1421da2cc457
15123e52b560
hexa4d37037d

44245123965 has 128 divisors (see below), whose sum is σ = 96935731200. Its totient is φ = 18694126080.

The previous prime is 44245123963. The next prime is 44245123969. The reversal of 44245123965 is 56932154244.

44245123965 is a `hidden beast` number, since 4 + 4 + 245 + 12 + 396 + 5 = 666.

It is not a de Polignac number, because 44245123965 - 21 = 44245123963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 44245123965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44245123963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706104 + ... + 766206.

It is an arithmetic number, because the mean of its divisors is an integer number (757310400).

Almost surely, 244245123965 is an apocalyptic number.

44245123965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44245123965 is an abundant number, since it is smaller than the sum of its proper divisors (52690607235).

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

44245123965 is a wasteful number, since it uses less digits than its factorization.

44245123965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60184 (or 60178 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 44245123965 in words is "forty-four billion, two hundred forty-five million, one hundred twenty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 41 45 57 63 95 105 123 133 135 171 189 205 285 287 315 369 399 513 615 665 779 855 861 945 1107 1197 1435 1845 1995 2337 2565 2583 3591 3895 4305 5453 5535 5985 7011 7749 11685 12915 16359 17955 21033 27265 35055 38745 49077 60103 81795 105165 147231 180309 245385 300515 420721 540927 736155 901545 1141957 1262163 1622781 2103605 2464223 2704635 3425871 3786489 5709785 6310815 7392669 7993699 8113905 10277613 11359467 12321115 17129355 17249561 18932445 22178007 23981097 30832839 36963345 39968495 46820237 51388065 51748683 56797335 66534021 71943291 86247805 110890035 119905485 140460711 154164195 155246049 215829873 234101185 258743415 327741659 332670105 359716455 421382133 465738147 702303555 776230245 983224977 1079149365 1264146399 1638708295 2106910665 2328690735 2949674931 4916124885 6320731995 8849024793 14748374655 44245123965