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240304115013344 = 25431075351305017
BaseRepresentation
bin110110101000111000101001…
…011010011101011011100000
31011111211211220221121102201122
4312220320221122131123200
5222444120311420411334
62211030104133551412
7101421253662342314
oct6650705132353340
91144754827542648
10240304115013344
116a628448234098
1222b50669aa5568
13a411772075b85
14434aad1973b44
151cbacdc85d32e
hexda8e2969d6e0

240304115013344 has 96 divisors (see below), whose sum is σ = 488718248046336. Its totient is φ = 116238913459200.

The previous prime is 240304115013337. The next prime is 240304115013373. The reversal of 240304115013344 is 443310511403042.

240304115013344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2403041150133442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787685924 + ... + 787990940.

It is an arithmetic number, because the mean of its divisors is an integer number (5090815083816).

Almost surely, 2240304115013344 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 240304115013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244359124023168).

240304115013344 is an abundant number, since it is smaller than the sum of its proper divisors (248414133032992).

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

240304115013344 is a wasteful number, since it uses less digits than its factorization.

240304115013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310528 (or 310520 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 240304115013344 its reverse (443310511403042), we get a palindrome (683614626416386).

The spelling of 240304115013344 in words is "two hundred forty trillion, three hundred four billion, one hundred fifteen million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 428 688 856 1376 1712 3424 4601 5351 9202 10702 18404 21404 36808 42808 73616 85616 147232 171232 230093 305017 460186 572557 610034 920372 1145114 1220068 1840744 2290228 2440136 3681488 4580456 4880272 7362976 9160912 9760544 13115731 18321824 24619951 26231462 32636819 49239902 52462924 65273638 98479804 104925848 130547276 196959608 209851696 261094552 393919216 419703392 522189104 787838432 1044378208 1403383217 1632145967 2806766434 3264291934 5613532868 6528583868 11227065736 13057167736 22454131472 26114335472 44908262944 52228670944 70182276581 140364553162 174639618469 280729106324 349279236938 561458212648 698558473876 1122916425296 1397116947752 2245832850592 2794233895504 5588467791008 7509503594167 15019007188334 30038014376668 60076028753336 120152057506672 240304115013344