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30940757440 = 265891099967
BaseRepresentation
bin11100110100001101…
…100111110111000000
32221212022111022222021
4130310031213313000
51001331313214230
622114115451224
72143512045625
oct346415476700
987768438867
1030940757440
111213828401a
125bb5bb6b14
132bc125bcc8
1416d737434c
15c11506c7a
hex734367dc0

30940757440 has 112 divisors (see below), whose sum is σ = 75196598400. Its totient is φ = 12123758592.

The previous prime is 30940757411. The next prime is 30940757443. The reversal of 30940757440 is 4475704903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30940757443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3099337 + ... + 3109303.

It is an arithmetic number, because the mean of its divisors is an integer number (671398200).

Almost surely, 230940757440 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 30940757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37598299200).

30940757440 is an abundant number, since it is smaller than the sum of its proper divisors (44255840960).

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

30940757440 is a wasteful number, since it uses less digits than its factorization.

30940757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 30940757440 in words is "thirty billion, nine hundred forty million, seven hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 109 160 178 218 320 356 436 445 545 712 872 890 1090 1424 1744 1780 2180 2848 3488 3560 4360 5696 6976 7120 8720 9701 9967 14240 17440 19402 19934 28480 34880 38804 39868 48505 49835 77608 79736 97010 99670 155216 159472 194020 199340 310432 318944 388040 398680 620864 637888 776080 797360 887063 1086403 1552160 1594720 1774126 2172806 3104320 3189440 3548252 4345612 4435315 5432015 7096504 8691224 8870630 10864030 14193008 17382448 17741260 21728060 28386016 34764896 35482520 43456120 56772032 69529792 70965040 86912240 96689867 141930080 173824480 193379734 283860160 347648960 386759468 483449335 773518936 966898670 1547037872 1933797340 3094075744 3867594680 6188151488 7735189360 15470378720 30940757440