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434881194938631 = 3372476993795451
BaseRepresentation
bin110001011100001011010101…
…1001001001101000100000111
32010000210020101012101120012000
41202320112223021031010013
5424000043141401014011
64140525355110000343
7160413062262616500
oct14270265311150407
92100706335346160
10434881194938631
11116626096239181
1240936a803460b3
13158871752a867c
14795650da07ba7
1535423d050e356
hex18b85ab24d107

434881194938631 has 48 divisors (see below), whose sum is σ = 765400974266880. Its totient is φ = 243216230569200.

The previous prime is 434881194938627. The next prime is 434881194938657. The reversal of 434881194938631 is 136839491188434.

434881194938631 is a `hidden beast` number, since 4 + 3 + 48 + 8 + 1 + 19 + 493 + 86 + 3 + 1 = 666.

It is not a de Polignac number, because 434881194938631 - 22 = 434881194938627 is a prime.

It is a super-2 number, since 2×4348811949386312 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434881194938631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434881194938131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3496835545 + ... + 3496959906.

It is an arithmetic number, because the mean of its divisors is an integer number (15945853630560).

Almost surely, 2434881194938631 is an apocalyptic number.

434881194938631 is a deficient number, since it is larger than the sum of its proper divisors (330519779328249).

434881194938631 is a wasteful number, since it uses less digits than its factorization.

434881194938631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993795521 (or 6993795508 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 434881194938631 in words is "four hundred thirty-four trillion, eight hundred eighty-one billion, one hundred ninety-four million, nine hundred thirty-eight thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 47 49 63 141 147 189 329 423 441 987 1269 1323 2303 2961 6909 8883 20727 62181 6993795451 20981386353 48956568157 62944159059 146869704471 188832477177 328708386197 342695977099 440609113413 986125158591 1028087931297 1321827340239 2300958703379 2958375475773 3084263793891 6902876110137 8875126427319 9252791381673 16106710923653 20708628330411 48320132770959 62125884991233 144960398312877 434881194938631