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40098554946680 = 2355943273926719
BaseRepresentation
bin10010001111000001011000…
…00111111010010001111000
312020222101101020110001001212
421013200230013322101320
520223433320031243210
6221141004414502252
711306011400213546
oct1107405407722170
9166871336401055
1040098554946680
111185a77999a22a
1245b7450b04988
13194b37b8b2a69
149c8acd65ad96
154980c7162805
hex24782c1fa478

40098554946680 has 64 divisors (see below), whose sum is σ = 91772158464000. Its totient is φ = 15763919359104.

The previous prime is 40098554946679. The next prime is 40098554946691. The reversal of 40098554946680 is 8664945589004.

It is a self number, because there is not a number n which added to its sum of digits gives 40098554946680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8248361 + ... + 12175079.

It is an arithmetic number, because the mean of its divisors is an integer number (1433939976000).

Almost surely, 240098554946680 is an apocalyptic number.

40098554946680 is a gapful number since it is divisible by the number (40) 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 40098554946680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45886079232000).

40098554946680 is an abundant number, since it is smaller than the sum of its proper divisors (51673603517320).

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

40098554946680 is a wasteful number, since it uses less digits than its factorization.

40098554946680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931116 (or 3931112 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 68.

The spelling of 40098554946680 in words is "forty trillion, ninety-eight billion, five hundred fifty-four million, nine hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 4327 8654 17308 21635 34616 43270 86540 173080 255293 510586 1021172 1276465 2042344 2552930 3926719 5105860 7853438 10211720 15706876 19633595 31413752 39267190 78534380 157068760 231676421 463352842 926705684 1158382105 1853411368 2316764210 4633528420 9267056840 16990913113 33981826226 67963652452 84954565565 135927304904 169909131130 339818262260 679636524520 1002463873667 2004927747334 4009855494668 5012319368335 8019710989336 10024638736670 20049277473340 40098554946680