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45441443232 = 25356787221
BaseRepresentation
bin101010010100100001…
…010110010110100000
311100021220002111100000
4222110201112112200
51221031002140412
632513035500000
73166036615533
oct522441262640
9140256074300
1045441443232
11182a9567969
1289822b7600
134392503163
1422b1140a1a
1512ae58b4dc
hexa948565a0

45441443232 has 144 divisors (see below), whose sum is σ = 136011893472. Its totient is φ = 14920899840.

The previous prime is 45441443219. The next prime is 45441443249. The reversal of 45441443232 is 23234414454.

45441443232 is a `hidden beast` number, since 4 + 5 + 4 + 414 + 4 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477382 + ... + 564602.

It is an arithmetic number, because the mean of its divisors is an integer number (944527038).

Almost surely, 245441443232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45441443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68005946736).

45441443232 is an abundant number, since it is smaller than the sum of its proper divisors (90570450240).

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

45441443232 is an equidigital number, since it uses as much as digits as its factorization.

45441443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87313 (or 87293 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 45441443232 its reverse (23234414454), we get a palindrome (68675857686).

The spelling of 45441443232 in words is "forty-five billion, four hundred forty-one million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 201 216 243 268 288 324 402 432 486 536 603 648 804 864 972 1072 1206 1296 1608 1809 1944 2144 2412 2592 3216 3618 3888 4824 5427 6432 7236 7776 9648 10854 14472 16281 19296 21708 28944 32562 43416 57888 65124 86832 87221 130248 173664 174442 260496 261663 348884 520992 523326 697768 784989 1046652 1395536 1569978 2093304 2354967 2791072 3139956 4186608 4709934 5843807 6279912 7064901 8373216 9419868 11687614 12559824 14129802 17531421 18839736 21194703 23375228 25119648 28259604 35062842 37679472 42389406 46750456 52594263 56519208 70125684 75358944 84778812 93500912 105188526 113038416 140251368 157782789 169557624 187001824 210377052 226076832 280502736 315565578 339115248 420754104 473348367 561005472 631131156 678230496 841508208 946696734 1262262312 1420045101 1683016416 1893393468 2524524624 2840090202 3786786936 5049049248 5680180404 7573573872 11360360808 15147147744 22720721616 45441443232