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240534363435042 = 231012113529533053
BaseRepresentation
bin110110101100001111000101…
…010010011111000000100010
31011112122212020100122011002210
4312230033011102133000202
5223011403334014410132
62211323543332422550
7101444014520544555
oct6654170522370042
91145585210564083
10240534363435042
116a707061494206
1222b89207777a56
13a42a3a7069311
144357cd508869c
151cc1cb662cbcc
hexdac3c549f022

240534363435042 has 64 divisors (see below), whose sum is σ = 488273540722560. Its totient is φ = 78985513152000.

The previous prime is 240534363434999. The next prime is 240534363435073.

240534363435042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240534363434982 and 240534363435000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450972588 + ... + 451505640.

It is an arithmetic number, because the mean of its divisors is an integer number (7629274073790).

Almost surely, 2240534363435042 is an apocalyptic number.

240534363435042 is an abundant number, since it is smaller than the sum of its proper divisors (247739177287518).

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

240534363435042 is a wasteful number, since it uses less digits than its factorization.

240534363435042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536899.

The product of its (nonzero) digits is 12441600, while the sum is 48.

The spelling of 240534363435042 in words is "two hundred forty trillion, five hundred thirty-four billion, three hundred sixty-three million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 101 202 211 303 422 606 633 1266 3529 7058 10587 21174 21311 42622 63933 127866 356429 533053 712858 744619 1066106 1069287 1489238 1599159 2138574 2233857 3198318 4467714 53838353 75206519 107676706 112474183 150413038 161515059 224948366 225619557 323030118 337422549 451239114 674845098 1881144037 3762288074 5643432111 11286864222 11359892483 22719784966 34079677449 68159354898 189995547737 379991095474 396921391807 569986643211 793842783614 1139973286422 1190764175421 2381528350842 40089060572507 80178121145014 120267181717521 240534363435042