Search a number
-
+
30723051440 = 2451722590479
BaseRepresentation
bin11100100111001111…
…001000111110110000
32221022010211201111002
4130213033020332300
51000410100121230
622040341341132
72135226425354
oct344717107660
987263751432
1030723051440
11120363a8304
125b551077a8
132b881157a3
1416b64a3464
15bec351545
hex7273c8fb0

30723051440 has 40 divisors (see below), whose sum is σ = 75632927040. Its totient is φ = 11566324736.

The previous prime is 30723051431. The next prime is 30723051449. The reversal of 30723051440 is 4415032703.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30723051431) and next prime (30723051449).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (30723051449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11293880 + ... + 11296599.

It is an arithmetic number, because the mean of its divisors is an integer number (1890823176).

Almost surely, 230723051440 is an apocalyptic number.

It is an amenable number.

30723051440 is an abundant number, since it is smaller than the sum of its proper divisors (44909875600).

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

30723051440 is a wasteful number, since it uses less digits than its factorization.

30723051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22590509 (or 22590503 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 30723051440 in words is "thirty billion, seven hundred twenty-three million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 22590479 45180958 90361916 112952395 180723832 225904790 361447664 384038143 451809580 768076286 903619160 1536152572 1807238320 1920190715 3072305144 3840381430 6144610288 7680762860 15361525720 30723051440