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240115452052 = 227217188938149
BaseRepresentation
bin1101111110011111111…
…1110000100010010100
3211221210001120210102211
43133213333300202110
512413224023431202
6302150231243204
723230166444500
oct3374777604224
9757701523384
10240115452052
1192917a05063
123a652219504
1319848295558
14b89bb43300
1563a51641d7
hex37e7ff0894

240115452052 has 72 divisors (see below), whose sum is σ = 517847337000. Its totient is φ = 96799481856.

The previous prime is 240115452037. The next prime is 240115452089. The reversal of 240115452052 is 250254511042.

It can be written as a sum of positive squares in 4 ways, for example, as 116298732676 + 123816719376 = 341026^2 + 351876^2 .

It is a super-2 number, since 2×2401154520522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6275074 + ... + 6313222.

It is an arithmetic number, because the mean of its divisors is an integer number (7192324125).

Almost surely, 2240115452052 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 240115452052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258923668500).

240115452052 is an abundant number, since it is smaller than the sum of its proper divisors (277731884948).

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

240115452052 is a wasteful number, since it uses less digits than its factorization.

240115452052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40073 (or 40064 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 240115452052 its reverse (250254511042), we get a palindrome (490369963094).

The spelling of 240115452052 in words is "two hundred forty billion, one hundred fifteen million, four hundred fifty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 1889 3332 3778 7556 13223 26446 32113 38149 52892 64226 76298 92561 128452 152596 185122 224791 267043 370244 449582 534086 648533 899164 1068172 1297066 1573537 1869301 2594132 3147074 3738602 4539731 6294148 7477204 9079462 18158924 31778117 63556234 72063461 127112468 144126922 288253844 504444227 1008888454 1225078837 2017776908 2450157674 3531109589 4900315348 7062219178 8575551859 14124438356 17151103718 34302207436 60028863013 120057726026 240115452052