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40230330272 = 25111729231827
BaseRepresentation
bin100101011101111010…
…100001111110100000
310211211201110112020022
4211131322201332200
51124342431032042
630252003333012
72622642110426
oct453572417640
9124751415208
1040230330272
1116074a77640
127969081168
133a419c8c72
141d39007116
1510a6d32cd2
hex95dea1fa0

40230330272 has 96 divisors (see below), whose sum is σ = 94641462720. Its totient is φ = 16617287680.

The previous prime is 40230330269. The next prime is 40230330299. The reversal of 40230330272 is 27203303204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57623 + ... + 289449.

It is an arithmetic number, because the mean of its divisors is an integer number (985848570).

Almost surely, 240230330272 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 40230330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47320731360).

40230330272 is an abundant number, since it is smaller than the sum of its proper divisors (54411132448).

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

40230330272 is a wasteful number, since it uses less digits than its factorization.

40230330272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231894 (or 231886 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 26.

Adding to 40230330272 its reverse (27203303204), we get a palindrome (67433633476).

The spelling of 40230330272 in words is "forty billion, two hundred thirty million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 68 88 116 136 176 187 232 272 319 352 374 464 493 544 638 748 928 986 1276 1496 1972 2552 2992 3944 5104 5423 5984 7888 10208 10846 15776 21692 43384 86768 173536 231827 463654 927308 1854616 2550097 3709232 3941059 5100194 6722983 7418464 7882118 10200388 13445966 15764236 20400776 26891932 31528472 40801552 43351649 53783864 63056944 73952813 81603104 86703298 107567728 114290711 126113888 147905626 173406596 215135456 228581422 295811252 346813192 457162844 591622504 693626384 914325688 1183245008 1257197821 1387252768 1828651376 2366490016 2514395642 3657302752 5028791284 10057582568 20115165136 40230330272