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30230440040992 = 2523472443935759
BaseRepresentation
bin1101101111110100100101…
…01000111101101000100000
310222001000001100021202010011
412313322102220331220200
512430243420122302432
6144143401125014304
76240035325412342
oct667722250755040
9128030040252104
1030230440040992
1196a572632a624
123482a41254394
1313b39450441a9
14767238101292
1537656a7e9847
hex1b7e92a3da20

30230440040992 has 96 divisors (see below), whose sum is σ = 63429566054400. Its totient is φ = 14149444032768.

The previous prime is 30230440040959. The next prime is 30230440041001. The reversal of 30230440040992 is 29904004403203.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 845376009 + ... + 845411767.

It is an arithmetic number, because the mean of its divisors is an integer number (660724646400).

Almost surely, 230230440040992 is an apocalyptic number.

30230440040992 is a gapful number since it is divisible by the number (32) 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 30230440040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31714783027200).

30230440040992 is an abundant number, since it is smaller than the sum of its proper divisors (33199126013408).

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

30230440040992 is a wasteful number, since it uses less digits than its factorization.

30230440040992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60278 (or 60270 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 30230440040992 in words is "thirty trillion, two hundred thirty billion, four hundred forty million, forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 736 752 1081 1504 2162 4324 8648 17296 24439 34592 35759 48878 71518 97756 143036 195512 286072 391024 562097 572144 782048 822457 1124194 1144288 1148633 1644914 1680673 2248388 2297266 3289828 3361346 4496776 4594532 6579656 6722692 8993552 9189064 13159312 13445384 17987104 18378128 26318624 26418559 26890768 36756256 38655479 52837118 53781536 77310958 105674236 154621916 211348472 309243832 422696944 618487664 845393888 873914201 1236975328 1747828402 3495656804 6991313608 13982627216 20100026623 27965254432 40200053246 41073967447 80400106492 82147934894 160800212984 164295869788 321600425968 328591739576 643200851936 657183479152 944701251281 1314366958304 1889402502562 3778805005124 7557610010248 15115220020496 30230440040992