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40234425577332 = 22372281254995531
BaseRepresentation
bin10010010010111110011101…
…01001001110111101110100
312021110101002022000012222120
421021133032221032331310
520233200100421433312
6221323235005555540
711321561400423300
oct1111371651167564
9167411068005876
1040234425577332
1111902362369028
12461984b875bb0
13195b122ac892c
149d14dc69ad00
1549b8ca5a728c
hex2497cea4ef74

40234425577332 has 144 divisors (see below), whose sum is σ = 109640509675200. Its totient is φ = 11450027097600.

The previous prime is 40234425577319. The next prime is 40234425577373. The reversal of 40234425577332 is 23377552443204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421118407 + ... + 421213937.

It is an arithmetic number, because the mean of its divisors is an integer number (761392428300).

Almost surely, 240234425577332 is an apocalyptic number.

40234425577332 is a gapful number since it is divisible by the number (42) 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 40234425577332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54820254837600).

40234425577332 is an abundant number, since it is smaller than the sum of its proper divisors (69406084097868).

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

40234425577332 is a wasteful number, since it uses less digits than its factorization.

40234425577332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98382 (or 98373 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 51.

The spelling of 40234425577332 in words is "forty trillion, two hundred thirty-four billion, four hundred twenty-five million, five hundred seventy-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 281 294 562 588 843 1124 1686 1967 2549 3372 3934 5098 5901 7647 7868 10196 11802 13769 15294 17843 23604 27538 30588 35686 41307 53529 55076 71372 82614 95531 107058 124901 165228 191062 214116 249802 286593 374703 382124 499604 573186 668717 716269 749406 1146372 1337434 1432538 1498812 2006151 2148807 2674868 2865076 4012302 4297614 4681019 5013883 8024604 8595228 9362038 10027766 14043057 15041649 18724076 20055532 26844211 28086114 30083298 35097181 53688422 56172228 60166596 70194362 80532633 105291543 107376844 140388724 161065266 187909477 210583086 243508519 322130532 375818954 421166172 487017038 563728431 730525557 751637908 974034076 1127456862 1315366339 1461051114 1704559633 2254913724 2630732678 2922102228 3409119266 3946099017 5113678899 5261465356 6818238532 7892198034 10227357798 11931917431 15784396068 20454715596 23863834862 35795752293 47727669724 68425893839 71591504586 136851787678 143183009172 205277681517 273703575356 410555363034 478981256873 821110726068 957962513746 1436943770619 1915925027492 2873887541238 3352868798111 5747775082476 6705737596222 10058606394333 13411475192444 20117212788666 40234425577332