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141246642141 = 32112791641811
BaseRepresentation
bin1000001110001011110…
…1001011011111011101
3111111120201110212021100
42003202331023133131
54303233120022031
6144515433423313
713130136435333
oct2034275133735
9444521425240
10141246642141
11549a2057900
122345b26ab39
131041cc37377
146b9d01db53
153a1a3c1de6
hex20e2f4b7dd

141246642141 has 36 divisors (see below), whose sum is σ = 227095435840. Its totient is φ = 84520378800.

The previous prime is 141246642101. The next prime is 141246642161.

141246642141 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 4 + 6 + 642 + 1 + 4 + 1 = 666.

141246642141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141246642141 - 213 = 141246633949 is a prime.

It is a super-2 number, since 2×1412466421412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141246642096 and 141246642105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141246642101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734875 + ... + 906936.

Almost surely, 2141246642141 is an apocalyptic number.

141246642141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141246642141 is a deficient number, since it is larger than the sum of its proper divisors (85848793699).

141246642141 is a wasteful number, since it uses less digits than its factorization.

141246642141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641918 (or 1641904 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 141246 and 642141, that added together give a palindrome (783387).

The spelling of 141246642141 in words is "one hundred forty-one billion, two hundred forty-six million, six hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 79 99 121 237 363 711 869 1089 2607 7821 9559 28677 86031 1641811 4925433 14776299 18059921 54179763 129703069 162539289 198659131 389109207 595977393 1167327621 1426733759 1787932179 4280201277 12840603831 15694071349 47082214047 141246642141