Search a number
-
+
40140813282834 = 231137797161912739
BaseRepresentation
bin10010010000010000000101…
…11010101010111000010010
312021010102110021221221101010
421020020002322222320102
520230131341200022314
6221212233545351350
711312035526151015
oct1110100272527022
9167112407857333
1040140813282834
11118766946a1690
124603685198556
1319523547b04b4
149cab7bb2d37c
1549924c03b059
hex248202eaae12

40140813282834 has 128 divisors (see below), whose sum is σ = 90122539852800. Its totient is φ = 11812051342080.

The previous prime is 40140813282811. The next prime is 40140813282841. The reversal of 40140813282834 is 43828231804104.

It is a super-2 number, since 2×401408132828342 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3151011237 + ... + 3151023975.

It is an arithmetic number, because the mean of its divisors is an integer number (704082342600).

Almost surely, 240140813282834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40140813282834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061269926400).

40140813282834 is an abundant number, since it is smaller than the sum of its proper divisors (49981726569966).

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

40140813282834 is a wasteful number, since it uses less digits than its factorization.

40140813282834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208.

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 40140813282834 in words is "forty trillion, one hundred forty billion, eight hundred thirteen million, two hundred eighty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 797 814 1221 1594 1619 2391 2442 3238 4782 4857 8767 9714 12739 17534 17809 25478 26301 29489 35618 38217 52602 53427 58978 59903 76434 88467 106854 119806 140129 176934 179709 280258 324379 359418 420387 471343 648758 658933 840774 942686 973137 1290343 1317866 1414029 1946274 1976799 2580686 2828058 3871029 3953598 5184773 7742058 10152983 10369546 14193773 15554319 20305966 20624441 28387546 30458949 31108638 41248882 42581319 47742691 60917898 61873323 85162638 95485382 111682813 123746646 143228073 223365626 226868851 286456146 335048439 375660371 453737702 525169601 670096878 680606553 751320742 763104317 1050339202 1126981113 1361213106 1526208634 1575508803 2253962226 2289312951 3151017606 4132264081 4578625902 8264528162 8394147487 12396792243 16437679477 16788294974 24793584486 25182442461 32875358954 49313038431 50364884922 98626076862 180814474247 361628948494 542443422741 608194140649 1084886845482 1216388281298 1824582421947 3649164843894 6690135547139 13380271094278 20070406641417 40140813282834