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141431102144 = 2619911104829
BaseRepresentation
bin1000001110110111110…
…0110101101011000000
3111112001120120101211022
42003231330311223000
54304122330232034
6144550023205012
713134536350523
oct2035574655300
9445046511738
10141431102144
1154a87196392
12234b0ba6768
131044c2102b7
146bb9718bba
153a2b6abb2e
hex20edf35ac0

141431102144 has 28 divisors (see below), whose sum is σ = 282062682000. Its totient is φ = 70360190208.

The previous prime is 141431102129. The next prime is 141431102171. The reversal of 141431102144 is 441201134141.

It is a happy number.

141431102144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414311021442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5539679 + ... + 5565150.

Almost surely, 2141431102144 is an apocalyptic number.

It is an amenable number.

141431102144 is a deficient number, since it is larger than the sum of its proper divisors (140631579856).

141431102144 is a wasteful number, since it uses less digits than its factorization.

141431102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105040 (or 11105030 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 141431102144 its reverse (441201134141), we get a palindrome (582632236285).

The spelling of 141431102144 in words is "one hundred forty-one billion, four hundred thirty-one million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 199 398 796 1592 3184 6368 12736 11104829 22209658 44419316 88838632 177677264 355354528 710709056 2209860971 4419721942 8839443884 17678887768 35357775536 70715551072 141431102144