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235440214010001 = 327111335027746107
BaseRepresentation
bin110101100010000110110010…
…010100100110100010010001
31010212121212100022202200111100
4311202012302110212202101
5221324423024241310001
62152423424031135013
7100406664662065650
oct6542066224464221
91125555308680440
10235440214010001
11690226a7993170
12224a5a83374469
13a14abbc6040c0
14421d51d6b5197
151c34518640586
hexd621b2526891

235440214010001 has 96 divisors (see below), whose sum is σ = 456624972131328. Its totient is φ = 112895029825920.

The previous prime is 235440214009967. The next prime is 235440214010003. The reversal of 235440214010001 is 100010412044532.

235440214010001 is a `hidden beast` number, since 2 + 3 + 5 + 440 + 214 + 0 + 1 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 235440214010001 - 215 = 235440213977233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (235440214010003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315185190 + ... + 315931296.

It is an arithmetic number, because the mean of its divisors is an integer number (4756510126368).

Almost surely, 2235440214010001 is an apocalyptic number.

235440214010001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

235440214010001 is a deficient number, since it is larger than the sum of its proper divisors (221184758121327).

235440214010001 is a wasteful number, since it uses less digits than its factorization.

235440214010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781171 (or 781168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 235440214010001 its reverse (100010412044532), we get a palindrome (335450626054533).

The spelling of 235440214010001 in words is "two hundred thirty-five trillion, four hundred forty billion, two hundred fourteen million, ten thousand, one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 35027 105081 245189 315243 385297 455351 735567 746107 1155891 1366053 2206701 2238321 2697079 3187457 3467673 4098159 5008861 5222749 6714963 8091237 8207177 9562371 9699391 15026583 15668247 24273711 24621531 28687113 29098173 35062027 45079749 47004741 57450239 67895737 73864593 87294519 105186081 106693301 172350717 203687211 315558243 320079903 517052151 611061633 746853107 960239709 2240559321 6721677963 26133889889 78401669667 182937229223 235205009001 287472788779 339740568557 548811687669 862418366337 1019221705671 1646435063007 2012309521453 2378183979899 2587255099011 3057665117013 3737146254127 6036928564359 7134551939697 11211438762381 18110785693077 21403655819091 26160023778889 33634316287143 78480071336667 235440214010001