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41312321120 = 2557311189871
BaseRepresentation
bin100110011110011001…
…111111111001100000
310221122010102100122102
4212132121333321200
51134101423233440
630551214225532
72661520635620
oct463631777140
9127563370572
1041312321120
111657a801354
12800b4b52a8
133b84c12735
141ddc9b8880
15111bd0cb15
hex99e67fe60

41312321120 has 96 divisors (see below), whose sum is σ = 115141533696. Its totient is φ = 13707302400.

The previous prime is 41312321117. The next prime is 41312321131. The reversal of 41312321120 is 2112321314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41312321092 and 41312321101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560216 + ... + 629655.

It is an arithmetic number, because the mean of its divisors is an integer number (1199390976).

Almost surely, 241312321120 is an apocalyptic number.

41312321120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41312321120 is an abundant number, since it is smaller than the sum of its proper divisors (73829212576).

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

41312321120 is a wasteful number, since it uses less digits than its factorization.

41312321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189924 (or 1189916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 41312321120 its reverse (2112321314), we get a palindrome (43424642434).

The spelling of 41312321120 in words is "forty-one billion, three hundred twelve million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 1189871 2379742 4759484 5949355 8329097 9518968 11898710 16658194 19037936 23797420 33316388 36886001 38075872 41645485 47594840 66632776 73772002 83290970 95189680 133265552 147544004 166581940 184430005 190379360 258202007 266531104 295088008 333163880 368860010 516404014 590176016 666327760 737720020 1032808028 1180352032 1291010035 1332655520 1475440040 2065616056 2582020070 2950880080 4131232112 5164040140 5901760160 8262464224 10328080280 20656160560 41312321120