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41312222688 = 2531123556493
BaseRepresentation
bin100110011110011001…
…100111110111100000
310221122010020100121210
4212132121213313200
51134101412111223
630551212150120
72661520045632
oct463631476740
9127563210553
1041312222688
111657a744400
12800b468340
133b84ba99a9
141ddc990a52
15111bcdd893
hex99e667de0

41312222688 has 72 divisors (see below), whose sum is σ = 119199452904. Its totient is φ = 12518851840.

The previous prime is 41312222669. The next prime is 41312222689. The reversal of 41312222688 is 88622221314.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312222689) 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, 1766631 + ... + 1789862.

It is an arithmetic number, because the mean of its divisors is an integer number (1655547957).

Almost surely, 241312222688 is an apocalyptic number.

41312222688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41312222688 is an abundant number, since it is smaller than the sum of its proper divisors (77887230216).

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

41312222688 is a wasteful number, since it uses less digits than its factorization.

41312222688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556528 (or 3556509 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The spelling of 41312222688 in words is "forty-one billion, three hundred twelve million, two hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 3556493 7112986 10669479 14225972 21338958 28451944 39121423 42677916 56903888 78242846 85355832 113807776 117364269 156485692 170711664 234728538 312971384 341423328 430335653 469457076 625942768 860671306 938914152 1251885536 1291006959 1721342612 1877828304 2582013918 3442685224 3755656608 5164027836 6885370448 10328055672 13770740896 20656111344 41312222688