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30440131002 = 23219331443607
BaseRepresentation
bin11100010110010111…
…111000100110111010
32220120102110212121100
4130112113320212322
5444320133143002
621552313352230
72125222562421
oct342627704672
986512425540
1030440131002
1111a00729a66
125a96408676
132b41617a48
14168aa982b8
15bd25b811c
hex7165f89ba

30440131002 has 96 divisors (see below), whose sum is σ = 69906769920. Its totient is φ = 9546245280.

The previous prime is 30440130899. The next prime is 30440131003. The reversal of 30440131002 is 20013104403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30440131003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50148183 + ... + 50148789.

It is an arithmetic number, because the mean of its divisors is an integer number (728195520).

Almost surely, 230440131002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30440131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34953384960).

30440131002 is an abundant number, since it is smaller than the sum of its proper divisors (39466638918).

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

30440131002 is a wasteful number, since it uses less digits than its factorization.

30440131002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30440131002 its reverse (20013104403), we get a palindrome (50453235405).

The spelling of 30440131002 in words is "thirty billion, four hundred forty million, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 331 342 443 607 662 886 993 1214 1329 1821 1986 2658 2979 3642 3987 5463 5958 6289 7974 8417 10926 11533 12578 16834 18867 23066 25251 34599 37734 50502 56601 69198 75753 103797 113202 146633 151506 200917 207594 268901 293266 401834 439899 537802 602751 806703 879798 1205502 1319697 1613406 1808253 2420109 2639394 2786027 3616506 3817423 4840218 5109119 5572054 7634846 8358081 10218238 11452269 15327357 16716162 22904538 25074243 30654714 34356807 45982071 50148486 68713614 89006231 91964142 178012462 267018693 534037386 801056079 1602112158 1691118389 3382236778 5073355167 10146710334 15220065501 30440131002