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215142241512 = 233113761361069
BaseRepresentation
bin1100100001011101111…
…0100001010011101000
3202120022122002020212010
43020113132201103220
512011102403212022
6242500204515520
721354265610502
oct3102736412350
9676278066763
10215142241512
1183272206390
123584284bba0
131739847b8b3
14a5ad170d72
1558e29d450c
hex32177a14e8

215142241512 has 128 divisors (see below), whose sum is σ = 612490262400. Its totient is φ = 62392550400.

The previous prime is 215142241499. The next prime is 215142241519.

215142241512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2151422415122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 215142241512.

It is not an unprimeable number, because it can be changed into a prime (215142241519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415314 + ... + 776382.

It is an arithmetic number, because the mean of its divisors is an integer number (4785080175).

Almost surely, 2215142241512 is an apocalyptic number.

215142241512 is a gapful number since it is divisible by the number (22) 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 215142241512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306245131200).

215142241512 is an abundant number, since it is smaller than the sum of its proper divisors (397348020888).

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

215142241512 is a wasteful number, since it uses less digits than its factorization.

215142241512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361187 (or 361183 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 215142 and 241512, that added together give a palindrome (456654).

The spelling of 215142241512 in words is "two hundred fifteen billion, one hundred forty-two million, two hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 61 66 74 88 111 122 132 148 183 222 244 264 296 366 407 444 488 671 732 814 888 1221 1342 1464 1628 2013 2257 2442 2684 3256 4026 4514 4884 5368 6771 8052 9028 9768 13542 16104 18056 24827 27084 49654 54168 74481 99308 148962 198616 297924 361069 595848 722138 1083207 1444276 2166414 2888552 3971759 4332828 7943518 8665656 11915277 13359553 15887036 22025209 23830554 26719106 31774072 40078659 44050418 47661108 53438212 66075627 80157318 88100836 95322216 106876424 132151254 146955083 160314636 176201672 242277299 264302508 293910166 320629272 440865249 484554598 528605016 587820332 726831897 814932733 881730498 969109196 1175640664 1453663794 1629865466 1763460996 1938218392 2444798199 2907327588 3259730932 3526921992 4889596398 5814655176 6519461864 8964260063 9779192796 17928520126 19558385592 26892780189 35857040252 53785560378 71714080504 107571120756 215142241512