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13334001042114 = 2322416316477529
BaseRepresentation
bin1100001000001001000001…
…1001010100001011000010
31202012201101110101110100200
43002002100121110023002
53221431013231321424
644205315554030030
72544230655536514
oct302022031241302
952181343343320
1013334001042114
114280a10a761a5
1215b4275b78316
13759510a76c4c
14341524b17bb4
15181cabd4d8c9
hexc20906542c2

13334001042114 has 96 divisors (see below), whose sum is σ = 29104961783040. Its totient is φ = 4411793433600.

The previous prime is 13334001042079. The next prime is 13334001042149. The reversal of 13334001042114 is 41124010043331.

13334001042114 is a `hidden beast` number, since 1 + 3 + 3 + 340 + 0 + 104 + 211 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13334001042079) and next prime (13334001042149).

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, 1771015102 + ... + 1771022630.

It is an arithmetic number, because the mean of its divisors is an integer number (303176685240).

Almost surely, 213334001042114 is an apocalyptic number.

13334001042114 is an abundant number, since it is smaller than the sum of its proper divisors (15770960740926).

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

13334001042114 is a wasteful number, since it uses less digits than its factorization.

13334001042114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13334001042114 its reverse (41124010043331), we get a palindrome (54458011085445).

The spelling of 13334001042114 in words is "thirteen trillion, three hundred thirty-four billion, one million, forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 241 482 631 647 723 1262 1294 1446 1893 1941 2169 3786 3882 4338 5679 5823 7529 11358 11646 15058 22587 45174 67761 135522 152071 155927 304142 311854 408257 456213 467781 816514 912426 935562 1224771 1368639 1403343 1814489 2449542 2737278 2806686 3628978 3674313 4750799 4871263 5443467 7348626 9501598 9742526 10886934 14252397 14613789 16330401 28504794 29227578 32660802 42757191 43841367 85514382 87682734 98389937 196779874 295169811 590339622 885509433 1144942559 1173974383 1771018866 2289885118 2347948766 3073766953 3434827677 3521923149 6147533906 6869655354 7043846298 9221300859 10304483031 10565769447 18442601718 20608966062 21131538894 27663902577 55327805154 740777835673 1481555671346 2222333507019 4444667014038 6667000521057 13334001042114