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31144401421014 = 2374126336869039
BaseRepresentation
bin1110001010011010111101…
…11110111100001011010110
311002021101010212212102021110
413011031132332330023112
513040232213230433024
6150123312425155450
76363052205101620
oct705153676741326
9132241125772243
1031144401421014
119a182a273a912
1235abbb102bb86
13144bb9b1097bb
1479957b7c9c10
1539020d87b629
hex1c535efbc2d6

31144401421014 has 64 divisors (see below), whose sum is σ = 72951183083520. Its totient is φ = 8678067847680.

The previous prime is 31144401420991. The next prime is 31144401421213. The reversal of 31144401421014 is 41012410444113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099507 + ... + 7968545.

It is an arithmetic number, because the mean of its divisors is an integer number (1139862235680).

Almost surely, 231144401421014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31144401421014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36475591541760).

31144401421014 is an abundant number, since it is smaller than the sum of its proper divisors (41806781662506).

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

31144401421014 is a wasteful number, since it uses less digits than its factorization.

31144401421014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871725.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 31144401421014 its reverse (41012410444113), we get a palindrome (72156811865127).

The spelling of 31144401421014 in words is "thirty-one trillion, one hundred forty-four billion, four hundred one million, four hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 2633 5266 7899 15798 18431 36862 55293 107953 110586 215906 323859 647718 755671 1511342 2267013 4534026 6869039 13738078 20607117 41214234 48083273 96166546 144249819 281630599 288499638 563261198 844891797 1689783594 1971414193 3942828386 5914242579 11828485158 18086179687 36172359374 54258539061 108517078122 126603257809 253206515618 379809773427 741533367167 759619546854 1483066734334 2224600101501 4449200203002 5190733570169 10381467140338 15572200710507 31144401421014