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3134015224431 = 3713235919742943
BaseRepresentation
bin101101100110110001110…
…111010011101001101111
3102002121102220120001111220
4231212301313103221233
5402321430344140211
610355425142514423
7442265550604110
oct55466167235157
912077386501456
103134015224431
11aa9145988403
12427487435a13
131996c8526980
14ab98975a207
15567c9d38806
hex2d9b1dd3a6f

3134015224431 has 128 divisors (see below), whose sum is σ = 5485398589440. Its totient is φ = 1546505630208.

The previous prime is 3134015224363. The next prime is 3134015224451. The reversal of 3134015224431 is 1344225104313.

3134015224431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3134015224431 - 27 = 3134015224303 is a prime.

It is a super-2 number, since 2×31340152244312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3134015224392 and 3134015224401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134015224451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72959346 + ... + 73002288.

It is an arithmetic number, because the mean of its divisors is an integer number (42854676480).

Almost surely, 23134015224431 is an apocalyptic number.

3134015224431 is a deficient number, since it is larger than the sum of its proper divisors (2351383365009).

3134015224431 is a wasteful number, since it uses less digits than its factorization.

3134015224431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43245.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 3134015224431 in words is "three trillion, one hundred thirty-four billion, fifteen million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 23 39 59 69 91 161 177 197 273 299 413 483 591 767 897 1239 1357 1379 2093 2301 2561 4071 4137 4531 5369 6279 7683 9499 11623 13593 16107 17641 17927 28497 31717 34869 42943 52923 53781 58903 81361 95151 123487 128829 151099 176709 244083 267329 300601 370461 412321 453297 558259 801987 901803 987689 1057693 1236963 1674777 1871303 2533637 2963067 3173079 3475277 3907813 5613909 6913823 7600911 8459771 10425831 11723439 12839957 17735459 20741469 24326939 25379313 32937281 38519871 53206377 58273651 59218397 72980817 89879699 98811843 109977023 174820953 177655191 194574733 230560967 269639097 329931069 407915557 499126489 583724199 691682901 757557463 769839161 1223746671 1362023131 1497379467 2272672389 2309517483 2529471529 3493885423 4086069393 5302902241 6488644357 7588414587 10481656269 11479909247 15908706723 17706300703 19465933071 34439727741 45420510499 53118902109 80359364729 136261531497 149238820211 241078094187 447716460633 1044671741477 3134015224431