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540244304514504 = 23342928748632637
BaseRepresentation
bin111101011010110010110110…
…1110111001100110111001000
32121211211211222110112212120000
41322311211231313030313020
51031302330313423431004
65153000450211403000
7221536235331234252
oct17265455567146710
92554754873485500
10540244304514504
11147158360838587
1250712b705b3460
131a25aa86070175
149759d6cb64cd2
15426ceda3ecc39
hex1eb596ddccdc8

540244304514504 has 80 divisors (see below), whose sum is σ = 1565363047139100. Its totient is φ = 173871730182528.

The previous prime is 540244304514491. The next prime is 540244304514511. The reversal of 540244304514504 is 405415403442045.

540244304514504 is a `hidden beast` number, since 5 + 4 + 0 + 244 + 304 + 51 + 4 + 50 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 504276337385604 + 35967967128900 = 22456098^2 + 5997330^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 540244304514504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14374297527 + ... + 14374335110.

Almost surely, 2540244304514504 is an apocalyptic number.

540244304514504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

540244304514504 is an abundant number, since it is smaller than the sum of its proper divisors (1025118742624596).

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

540244304514504 is a wasteful number, since it uses less digits than its factorization.

540244304514504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28748632684 (or 28748632671 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 540244304514504 its reverse (405415403442045), we get a palindrome (945659707956549).

The spelling of 540244304514504 in words is "five hundred forty trillion, two hundred forty-four billion, three hundred four million, five hundred fourteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 28748632637 57497265274 86245897911 114994530548 172491795822 229989061096 258737693733 344983591644 517475387466 689967183288 776213081199 833710346473 1034950774932 1552426162398 1667420692946 2069901549864 2328639243597 2501131039419 3104852324796 3334841385892 4657278487194 5002262078838 6209704649592 6669682771784 7503393118257 9314556974388 10004524157676 15006786236514 18629113948776 20009048315352 22510179354771 30013572473028 45020358709542 60027144946056 67530538064313 90040717419084 135061076128626 180081434838168 270122152257252 540244304514504