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14121402402144 = 2531967115552193
BaseRepresentation
bin1100110101111110010100…
…1011001000010101100000
31211222222210210221222100010
43031133211023020111200
53322331113003332034
650011141021524520
72655144341632002
oct315374513102540
954888723858303
1014121402402144
11455494256a244
1217009a5113740
137b584784b26b
1436b69db50372
151974e40703e9
hexcd7e52c8560

14121402402144 has 96 divisors (see below), whose sum is σ = 39602047927680. Its totient is φ = 4392832131072.

The previous prime is 14121402402131. The next prime is 14121402402199. The reversal of 14121402402144 is 44120420412141.

It is a tau number, because it is divible by the number of its divisors (96).

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, 57653889 + ... + 57898304.

It is an arithmetic number, because the mean of its divisors is an integer number (412521332580).

Almost surely, 214121402402144 is an apocalyptic number.

It is an amenable number.

14121402402144 is an abundant number, since it is smaller than the sum of its proper divisors (25480645525536).

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

14121402402144 is a wasteful number, since it uses less digits than its factorization.

14121402402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115552292 (or 115552284 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 14121402402144 its reverse (44120420412141), we get a palindrome (58241822814285).

The spelling of 14121402402144 in words is "fourteen trillion, one hundred twenty-one billion, four hundred two million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 67 76 96 114 134 152 201 228 268 304 402 456 536 608 804 912 1072 1273 1608 1824 2144 2546 3216 3819 5092 6432 7638 10184 15276 20368 30552 40736 61104 122208 115552193 231104386 346656579 462208772 693313158 924417544 1386626316 1848835088 2195491667 2773252632 3697670176 4390983334 5546505264 6586475001 7741996931 8781966668 11093010528 13172950002 15483993862 17563933336 23225990793 26345900004 30967987724 35127866672 46451981586 52691800008 61935975448 70255733344 92903963172 105383600016 123871950896 147097941689 185807926344 210767200032 247743901792 294195883378 371615852688 441293825067 588391766756 743231705376 882587650134 1176783533512 1765175300268 2353567067024 3530350600536 4707134134048 7060701201072 14121402402144