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30975556140 = 22335263218107
BaseRepresentation
bin11100110110010010…
…010111101000101100
32221221201222021211000
4130312102113220230
51001414220244030
622121401400300
72144413611564
oct346622275054
987851867730
1030975556140
1112155991881
126005799090
132bc8524259
1416dbc31da4
15c145cc860
hex736497a2c

30975556140 has 96 divisors (see below), whose sum is σ = 96735260160. Its totient is φ = 8228703168.

The previous prime is 30975556109. The next prime is 30975556201. The reversal of 30975556140 is 4165557903.

30975556140 is a `hidden beast` number, since 3 + 0 + 97 + 5 + 556 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32967 + ... + 251073.

It is an arithmetic number, because the mean of its divisors is an integer number (1007658960).

Almost surely, 230975556140 is an apocalyptic number.

30975556140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30975556140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48367630080).

30975556140 is an abundant number, since it is smaller than the sum of its proper divisors (65759704020).

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

30975556140 is a wasteful number, since it uses less digits than its factorization.

30975556140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218388 (or 218380 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 30975556140 in words is "thirty billion, nine hundred seventy-five million, five hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 9468 11835 14202 15780 23670 28404 35505 47340 71010 142020 218107 436214 654321 872428 1090535 1308642 1962963 2181070 2617284 3271605 3925926 4362140 5888889 6543210 7851852 9814815 11777778 13086420 19629630 23555556 29444445 39259260 57362141 58888890 114724282 117777780 172086423 229448564 286810705 344172846 516259269 573621410 688345692 860432115 1032518538 1147242820 1548777807 1720864230 2065037076 2581296345 3097555614 3441728460 5162592690 6195111228 7743889035 10325185380 15487778070 30975556140