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30543440742 = 23331151120833
BaseRepresentation
bin11100011100100001…
…111110101101100110
32220211121212112221000
4130130201332231212
51000023110100432
622010443534130
72130615651123
oct343441765546
986747775830
1030543440742
1111a53a81111
125b04b2a346
132b59b49b79
14169a6ab74a
15bdb6c357c
hex71c87eb66

30543440742 has 64 divisors (see below), whose sum is σ = 70528389120. Its totient is φ = 9787392000.

The previous prime is 30543440737. The next prime is 30543440843. The reversal of 30543440742 is 24704434503.

30543440742 is a `hidden beast` number, since 3 + 0 + 543 + 4 + 40 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30543440697 and 30543440706.

It is a congruent number.

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, 192358 + ... + 313190.

It is an arithmetic number, because the mean of its divisors is an integer number (1102006080).

Almost surely, 230543440742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30543440742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35264194560).

30543440742 is an abundant number, since it is smaller than the sum of its proper divisors (39984948378).

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

30543440742 is a wasteful number, since it uses less digits than its factorization.

30543440742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121026 (or 121020 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 30543440742 in words is "thirty billion, five hundred forty-three million, four hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 151 186 279 302 453 558 837 906 1359 1674 2718 4077 4681 8154 9362 14043 28086 42129 84258 120833 126387 241666 252774 362499 724998 1087497 2174994 3262491 3745823 6524982 7491646 11237469 18245783 22474938 33712407 36491566 54737349 67424814 101137221 109474698 164212047 202274442 328424094 492636141 565619273 985272282 1131238546 1696857819 3393715638 5090573457 10181146914 15271720371 30543440742