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40986404184 = 233111712771909
BaseRepresentation
bin100110001010111110…
…101110010101011000
310220210102011001122210
4212022332232111120
51132420004413214
630455012515120
72650452454515
oct461276562530
9126712131583
1040986404184
1116422836110
127b3a31baa0
133b3253c28b
141dab5ba30c
1510ed3ceb59
hex98afae558

40986404184 has 128 divisors (see below), whose sum is σ = 119290060800. Its totient is φ = 11597322240.

The previous prime is 40986404141. The next prime is 40986404233. The reversal of 40986404184 is 48140468904.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534022 + ... + 605930.

It is an arithmetic number, because the mean of its divisors is an integer number (931953600).

Almost surely, 240986404184 is an apocalyptic number.

40986404184 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40986404184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59645030400).

40986404184 is an abundant number, since it is smaller than the sum of its proper divisors (78303656616).

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

40986404184 is a wasteful number, since it uses less digits than its factorization.

40986404184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72073 (or 72069 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 40986404184 in words is "forty billion, nine hundred eighty-six million, four hundred four thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 127 132 136 187 204 254 264 374 381 408 508 561 748 762 1016 1122 1397 1496 1524 2159 2244 2794 3048 4191 4318 4488 5588 6477 8382 8636 11176 12954 16764 17272 23749 25908 33528 47498 51816 71247 71909 94996 142494 143818 189992 215727 284988 287636 431454 569976 575272 790999 862908 1222453 1581998 1725816 2372997 2444906 3163996 3667359 4745994 4889812 6327992 7334718 9132443 9491988 9779624 13446983 14669436 18264886 18983976 26893966 27397329 29338872 36529772 40340949 53787932 54794658 73059544 80681898 100456873 107575864 109589316 155251531 161363796 200913746 219178632 301370619 310503062 322727592 401827492 465754593 602741238 621006124 803654984 931509186 1205482476 1242012248 1707766841 1863018372 2410964952 3415533682 3726036744 5123300523 6831067364 10246601046 13662134728 20493202092 40986404184