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30280041984 = 29330016569
BaseRepresentation
bin11100001100110101…
…001100011000000000
32220011021020111202110
4130030311030120000
5444003142320414
621524354215320
72121240052533
oct341465143000
986137214673
1030280041984
1111929326795
125a50884540
132b173c590a
141673704a1a
15bc34e4459
hex70cd4c600

30280041984 has 80 divisors (see below), whose sum is σ = 80707088880. Its totient is φ = 10088448000.

The previous prime is 30280041983. The next prime is 30280042007. The reversal of 30280041984 is 48914008203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30280041983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4606252 + ... + 4612820.

It is an arithmetic number, because the mean of its divisors is an integer number (1008838611).

Almost surely, 230280041984 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 30280041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40353544440).

30280041984 is an abundant number, since it is smaller than the sum of its proper divisors (50427046896).

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

30280041984 is an equidigital number, since it uses as much as digits as its factorization.

30280041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 30280041984 in words is "thirty billion, two hundred eighty million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3001 6002 6569 9003 12004 13138 18006 19707 24008 26276 36012 39414 48016 52552 72024 78828 96032 105104 144048 157656 192064 210208 288096 315312 384128 420416 576192 630624 768256 840832 1152384 1261248 1536512 1681664 2304768 2522496 3363328 4609536 5044992 10089984 19713569 39427138 59140707 78854276 118281414 157708552 236562828 315417104 473125656 630834208 946251312 1261668416 1892502624 2523336832 3785005248 5046673664 7570010496 10093347328 15140020992 30280041984