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141142013302333 = 3153151694981869
BaseRepresentation
bin100000000101111000101111…
…100100001101011000111101
3200111202001012120202012102111
4200011320233210031120331
5121444432320401133313
61220103425031254021
741505113444141401
oct4005705744153075
9614661176665374
10141142013302333
1140a76a9aa430aa
12139b632681a311
13609a8336c2284
1426bd44a4c1101
15114b6635b343d
hex805e2f90d63d

141142013302333 has 32 divisors (see below), whose sum is σ = 149450344704000. Its totient is φ = 133103614176000.

The previous prime is 141142013302261. The next prime is 141142013302379. The reversal of 141142013302333 is 333203310241141.

It is a cyclic number.

It is not a de Polignac number, because 141142013302333 - 213 = 141142013294141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141142013302295 and 141142013302304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142013902333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1723957323 + ... + 1724039191.

It is an arithmetic number, because the mean of its divisors is an integer number (4670323272000).

Almost surely, 2141142013302333 is an apocalyptic number.

It is an amenable number.

141142013302333 is a deficient number, since it is larger than the sum of its proper divisors (8308331401667).

141142013302333 is a wasteful number, since it uses less digits than its factorization.

141142013302333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89053.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 141142013302333 its reverse (333203310241141), we get a palindrome (474345323543474).

The spelling of 141142013302333 in words is "one hundred forty-one trillion, one hundred forty-two billion, thirteen million, three hundred two thousand, three hundred thirty-three".

Divisors: 1 31 53 151 1643 4681 6949 8003 81869 215419 248093 368297 1049299 2537939 4339057 11417207 12362219 32528269 55612847 134510767 383228789 568907681 655197607 1723998257 17636138111 20311125817 30152107093 85905059831 934715319883 2663056854761 4552968171043 141142013302333