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10412122324014 = 23219227148390437
BaseRepresentation
bin1001011110000100001011…
…0110100011110000101110
31100212101111201002111011200
42113201002312203300232
52331043011303332024
634051132444430330
72123152045322655
oct227410266436056
940771451074150
1010412122324014
113354835676914
121201b328483a6
135a6b2208a048
1427dd4127219c
15130c9abc12c9
hex97842da3c2e

10412122324014 has 96 divisors (see below), whose sum is σ = 23867904977280. Its totient is φ = 3271310318016.

The previous prime is 10412122324013. The next prime is 10412122324031. The reversal of 10412122324014 is 41042322121401.

10412122324014 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 21 + 2 + 232 + 401 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412122324013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115086004 + ... + 115176440.

It is an arithmetic number, because the mean of its divisors is an integer number (248624010180).

Almost surely, 210412122324014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412122324014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933952488640).

10412122324014 is an abundant number, since it is smaller than the sum of its proper divisors (13455782653266).

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

10412122324014 is a wasteful number, since it uses less digits than its factorization.

10412122324014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92174 (or 92171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10412122324014 its reverse (41042322121401), we get a palindrome (51454444445415).

The spelling of 10412122324014 in words is "ten trillion, four hundred twelve billion, one hundred twenty-two million, three hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 227 342 454 681 1362 1483 2043 2966 4086 4313 4449 8626 8898 12939 13347 25878 26694 28177 38817 56354 77634 84531 90437 169062 180874 253593 271311 336641 507186 542622 673282 813933 1009923 1627866 1718303 2019846 3029769 3436606 5154909 6059538 6396179 10309818 12792358 15464727 19188537 20529199 30929454 38377074 41058398 57565611 61587597 115131222 123175194 134118071 184762791 268236142 369525582 390054781 402354213 780109562 804708426 1170164343 1207062639 2340328686 2414125278 2548243349 3510493029 5096486698 7020986058 7644730047 15289460094 22934190141 30444802117 45868380282 60889604234 91334406351 182668812702 274003219053 548006438106 578451240223 1156902480446 1735353720669 3470707441338 5206061162007 10412122324014