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14100020241144 = 23313671811237313
BaseRepresentation
bin1100110100101110101010…
…1100101010001011111000
31211220221121122122122122020
43031023222230222023320
53322003320140204034
645553243155554440
72653456434361125
oct315135254521370
954827548578566
1014100020241144
11454686a926202
1216b88182bba20
137b381a9cc7a6
1436a63207b74c
15196b91cd5249
hexcd2eab2a2f8

14100020241144 has 64 divisors (see below), whose sum is σ = 35295464413440. Its totient is φ = 4693955420160.

The previous prime is 14100020241133. The next prime is 14100020241157. The reversal of 14100020241144 is 44114202000141.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 59296632 + ... + 59533944.

It is an arithmetic number, because the mean of its divisors is an integer number (551491631460).

Almost surely, 214100020241144 is an apocalyptic number.

It is an amenable number.

14100020241144 is an abundant number, since it is smaller than the sum of its proper divisors (21195444172296).

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

14100020241144 is a wasteful number, since it uses less digits than its factorization.

14100020241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240500 (or 240496 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14100020241144 its reverse (44114202000141), we get a palindrome (58214222241285).

The spelling of 14100020241144 in words is "fourteen trillion, one hundred billion, twenty million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1367 1811 2734 3622 4101 5433 5468 7244 8202 10866 10936 14488 16404 21732 32808 43464 237313 474626 711939 949252 1423878 1898504 2475637 2847756 4951274 5695512 7426911 9902548 14853822 19805096 29707644 59415288 324406871 429773843 648813742 859547686 973220613 1289321529 1297627484 1719095372 1946441226 2578643058 2595254968 3438190744 3892882452 5157286116 7785764904 10314572232 587500843381 1175001686762 1762502530143 2350003373524 3525005060286 4700006747048 7050010120572 14100020241144