Search a number
-
+
10140056216335 = 5431311815633533
BaseRepresentation
bin1001001110001110101001…
…1100101110001100001111
31022220101020221201012220001
42103203222130232030033
52312113313342410320
633322135535505131
72064411021501523
oct223435234561417
938811227635801
1010140056216335
11325a412424341
1211792643881a7
13587284571206
14270ad1dd1d83
15128b75a6b20a
hex938ea72e30f

10140056216335 has 64 divisors (see below), whose sum is σ = 12641391899136. Its totient is φ = 7803369100800.

The previous prime is 10140056216273. The next prime is 10140056216351. The reversal of 10140056216335 is 53361265004101.

It is not a de Polignac number, because 10140056216335 - 221 = 10140054119183 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10140056216294 and 10140056216303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2870096229 + ... + 2870099761.

It is an arithmetic number, because the mean of its divisors is an integer number (197521748424).

Almost surely, 210140056216335 is an apocalyptic number.

10140056216335 is a deficient number, since it is larger than the sum of its proper divisors (2501335682801).

10140056216335 is a wasteful number, since it uses less digits than its factorization.

10140056216335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 10140056216335 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred sixteen thousand, three hundred thirty-five".

Divisors: 1 5 43 131 181 215 563 655 905 2815 3533 5633 7783 17665 23711 24209 28165 38915 73753 101903 118555 121045 151919 368765 462823 509515 639473 759595 1019573 1989079 2314115 3171379 3197365 4381829 5097865 9945395 13349293 15856895 19901389 21909145 27497339 66746465 83770963 85530397 99506945 137486695 260569349 360023299 418854815 427651985 574019599 1302846745 1800116495 2870097995 3602151409 11204482007 15481001857 18010757045 47163052169 56022410035 77405009285 235815260845 2028011243267 10140056216335