Search a number
-
+
31241041728234 = 231310128325395519
BaseRepresentation
bin1110001101001110111110…
…01100011101001011101010
311002121121120220122200110020
413012213133030131023222
513043323123140300414
6150235534134301310
76403043065130502
oct706473714351352
9132547526580406
1031241041728234
119a55284670008
1236068817b7836
13145802c866a40
147a0108572a02
153929b7b717a9
hex1c69df31d2ea

31241041728234 has 128 divisors (see below), whose sum is σ = 68233961779200. Its totient is φ = 9478370131200.

The previous prime is 31241041728191. The next prime is 31241041728257. The reversal of 31241041728234 is 43282714014213.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5660631727 + ... + 5660637245.

It is an arithmetic number, because the mean of its divisors is an integer number (533077826400).

Almost surely, 231241041728234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31241041728234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34116980889600).

31241041728234 is an abundant number, since it is smaller than the sum of its proper divisors (36992920050966).

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

31241041728234 is a wasteful number, since it uses less digits than its factorization.

31241041728234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460.

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 31241041728234 in words is "thirty-one trillion, two hundred forty-one billion, forty-one million, seven hundred twenty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 101 202 283 303 566 606 849 1313 1698 2539 2626 3679 3939 5078 5519 7358 7617 7878 11037 11038 15234 16557 22074 28583 33007 33114 57166 66014 71747 85749 99021 143494 171498 198042 215241 256439 371579 430482 512878 557419 718537 743158 769317 1114737 1114838 1437074 1538634 1561877 1672257 2155611 2229474 3123754 3333707 3344514 4311222 4685631 6667414 7246447 9340981 9371262 10001121 14012741 14492894 18681962 20002242 20304401 21739341 28022943 28025482 40608802 42038223 43478682 56045886 60913203 72572237 84076446 121826406 145144474 157749577 182165633 217716711 315499154 364331266 435433422 473248731 546496899 943439081 946497462 1092993798 1415286841 1886878162 2050744501 2830317243 2830573682 3965605703 4101489002 4245860523 5660634486 6152233503 7931211406 8491721046 11896817109 12304467006 18398728933 23793634218 36797457866 51552874139 55196186799 103105748278 110392373598 154658622417 309317244834 400526176003 801052352006 1201578528009 2403157056018 5206840288039 10413680576078 15620520864117 31241041728234