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74101534344 = 233313711932099
BaseRepresentation
bin100010100000011001…
…0111010111010001000
321002021021002222021000
41011000302322322020
52203224443044334
654013005015000
75232206435505
oct1050062727210
9232237088230
1074101534344
1129476425582
1212440554460
136cac0c9056
14382d63a4ac
151dda740299
hex1140cbae88

74101534344 has 128 divisors (see below), whose sum is σ = 207612720000. Its totient is φ = 24487990272.

The previous prime is 74101534333. The next prime is 74101534369. The reversal of 74101534344 is 44343510147.

74101534344 is a `hidden beast` number, since 74 + 1 + 0 + 153 + 434 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 74101534299 and 74101534308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35302207 + ... + 35304305.

It is an arithmetic number, because the mean of its divisors is an integer number (1621974375).

Almost surely, 274101534344 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 74101534344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103806360000).

74101534344 is an abundant number, since it is smaller than the sum of its proper divisors (133511185656).

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

74101534344 is a wasteful number, since it uses less digits than its factorization.

74101534344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 74101534344 in words is "seventy-four billion, one hundred one million, five hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1193 1233 1644 2099 2386 2466 3288 3579 3699 4198 4772 4932 6297 7158 7398 8396 9544 9864 10737 12594 14316 14796 16792 18891 21474 25188 28632 29592 32211 37782 42948 50376 56673 64422 75564 85896 113346 128844 151128 163441 226692 257688 287563 326882 453384 490323 575126 653764 862689 980646 1150252 1307528 1470969 1725378 1961292 2300504 2504107 2588067 2941938 3450756 3922584 4412907 5008214 5176134 5883876 6901512 7512321 7764201 8825814 10016428 10352268 11767752 15024642 15528402 17651628 20032856 20704536 22536963 30049284 31056804 35303256 45073926 60098568 62113608 67610889 90147852 135221778 180295704 270443556 343062659 540887112 686125318 1029187977 1372250636 2058375954 2744501272 3087563931 4116751908 6175127862 8233503816 9262691793 12350255724 18525383586 24700511448 37050767172 74101534344