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211434242434112 = 2619373466157759
BaseRepresentation
bin110000000100110001011110…
…111010011110010001000000
31000201121220201220000222210002
4300010301132322132101000
5210203114312030342422
62025403314451255132
762351422426345445
oct6004613672362100
91021556656028702
10211434242434112
1161407838858185
121b869457baa4a8
1390c92182cb7a9
143a2d686dc79cc
151969d5342d692
hexc04c5ee9e440

211434242434112 has 56 divisors (see below), whose sum is σ = 442831225689600. Its totient is φ = 99884555122176.

The previous prime is 211434242434099. The next prime is 211434242434139.

211434242434112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2114342424341122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232625312 + ... + 233532447.

Almost surely, 2211434242434112 is an apocalyptic number.

It is an amenable number.

211434242434112 is an abundant number, since it is smaller than the sum of its proper divisors (231396983255488).

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

211434242434112 is a wasteful number, since it uses less digits than its factorization.

211434242434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466158163 (or 466158153 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 211434242434112 in words is "two hundred eleven trillion, four hundred thirty-four billion, two hundred forty-two million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 373 608 746 1216 1492 2984 5968 7087 11936 14174 23872 28348 56696 113392 226784 453568 466157759 932315518 1864631036 3729262072 7458524144 8856997421 14917048288 17713994842 29834096576 35427989684 70855979368 141711958736 173876844107 283423917472 347753688214 566847834944 695507376428 1391014752856 2782029505712 3303660038033 5564059011424 6607320076066 11128118022848 13214640152132 26429280304264 52858560608528 105717121217056 211434242434112