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31440412410 = 235117110712541
BaseRepresentation
bin11101010001111111…
…101001111011111010
310000011010200102201220
4131101333221323322
51003342221144120
622235445052510
72162060044641
oct352177517372
9100133612656
1031440412410
1112374325210
1261153b7136
132c70923034
14174387a358
15c40302b40
hex751fe9efa

31440412410 has 128 divisors (see below), whose sum is σ = 84262975488. Its totient is φ = 7443744000.

The previous prime is 31440412403. The next prime is 31440412427. The reversal of 31440412410 is 1421404413.

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, 2500740 + ... + 2513280.

It is an arithmetic number, because the mean of its divisors is an integer number (658304496).

Almost surely, 231440412410 is an apocalyptic number.

31440412410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440412410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131487744).

31440412410 is an abundant number, since it is smaller than the sum of its proper divisors (52822563078).

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

31440412410 is a wasteful number, since it uses less digits than its factorization.

31440412410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12740.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31440412410 its reverse (1421404413), we get a palindrome (32861816823).

The spelling of 31440412410 in words is "thirty-one billion, four hundred forty million, four hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 107 110 142 165 213 214 321 330 355 426 535 642 710 781 1065 1070 1177 1562 1605 2130 2343 2354 3210 3531 3905 4686 5885 7062 7597 7810 11715 11770 12541 15194 17655 22791 23430 25082 35310 37623 37985 45582 62705 75246 75970 83567 113955 125410 137951 167134 188115 227910 250701 275902 376230 413853 417835 501402 689755 827706 835670 890411 1253505 1341887 1379510 1780822 2069265 2507010 2671233 2683774 4025661 4138530 4452055 5342466 6709435 8051322 8904110 9794521 13356165 13418870 14760757 19589042 20128305 26712330 29383563 29521514 40256610 44282271 48972605 58767126 73803785 88564542 95273977 97945210 146917815 147607570 190547954 221411355 285821931 293835630 442822710 476369885 571643862 952739770 1048013747 1429109655 2096027494 2858219310 3144041241 5240068735 6288082482 10480137470 15720206205 31440412410