Search a number
-
+
350141044130451 = 327210347916092803
BaseRepresentation
bin100111110011100111001000…
…0100011101000001010010011
31200220202011020101112001110100
41033213032100203220022103
5331343202324244133301
63240404324114503443
7133515566324431500
oct11747162043501223
91626664211461410
10350141044130451
11a1624a8a287382
123332b81b294b83
131204b20ab08842
146266cba1c64a7
152a72e8abdc286
hex13e73908e8293

350141044130451 has 72 divisors (see below), whose sum is σ = 595284406778880. Its totient is φ = 197724404886624.

The previous prime is 350141044130429. The next prime is 350141044130453. The reversal of 350141044130451 is 154031440141053.

350141044130451 is a `hidden beast` number, since 3 + 5 + 0 + 141 + 0 + 441 + 30 + 45 + 1 = 666.

It is not a de Polignac number, because 350141044130451 - 27 = 350141044130323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (350141044130453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13711216 + ... + 29804018.

It is an arithmetic number, because the mean of its divisors is an integer number (8267838983040).

Almost surely, 2350141044130451 is an apocalyptic number.

350141044130451 is a deficient number, since it is larger than the sum of its proper divisors (245143362648429).

350141044130451 is a wasteful number, since it uses less digits than its factorization.

350141044130451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16093405 (or 16093395 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 350141044130451 in words is "three hundred fifty trillion, one hundred forty-one billion, forty-four million, one hundred thirty thousand, four hundred fifty-one".

Divisors: 1 3 7 9 21 49 63 103 147 309 441 479 721 927 1437 2163 3353 4311 5047 6489 10059 15141 23471 30177 45423 49337 70413 148011 211239 345359 444033 1036077 2417513 3108231 7252539 16092803 21757617 48278409 112649621 144835227 337948863 788547347 1013846589 1657558709 2365642041 4972676127 7096926123 7708452637 11602910963 14918028381 23125357911 34808732889 53959168459 69376073733 81220376741 104426198667 161877505377 243661130223 377714179213 485632516131 730983390669 793970621611 1133142537639 2381911864833 3399427612917 5557794351277 7145735594499 16673383053831 38904560458939 50020149161493 116713681376817 350141044130451