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74071103340 = 223513227418339
BaseRepresentation
bin100010011111011111…
…0110101011101101100
321002012010211220202210
41010332332311131230
52203144200301330
654010000450420
75231356663413
oct1047676653554
9232163756683
1074071103340
1129460230293
1212432319a10
136ca5a02b40
14382959847a
151dd7c2d8b0
hex113efb576c

74071103340 has 96 divisors (see below), whose sum is σ = 224337335040. Its totient is φ = 18152522496.

The previous prime is 74071103329. The next prime is 74071103369. The reversal of 74071103340 is 4330117047.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 74071103298 and 74071103307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32110 + ... + 386229.

It is an arithmetic number, because the mean of its divisors is an integer number (2336847240).

Almost surely, 274071103340 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 74071103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112168667520).

74071103340 is an abundant number, since it is smaller than the sum of its proper divisors (150266231700).

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

74071103340 is a wasteful number, since it uses less digits than its factorization.

74071103340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418591 (or 418589 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 74071103340 in words is "seventy-four billion, seventy-one million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 227 260 390 454 681 780 908 1135 1362 2270 2724 2951 3405 4540 5902 6810 8853 11804 13620 14755 17706 29510 35412 44265 59020 88530 177060 418339 836678 1255017 1673356 2091695 2510034 4183390 5020068 5438407 6275085 8366780 10876814 12550170 16315221 21753628 25100340 27192035 32630442 54384070 65260884 81576105 94962953 108768140 163152210 189925906 284888859 326304420 379851812 474814765 569777718 949629530 1139555436 1234518389 1424444295 1899259060 2469036778 2848888590 3703555167 4938073556 5697777180 6172591945 7407110334 12345183890 14814220668 18517775835 24690367780 37035551670 74071103340