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141018146360253 = 3333317121220189
BaseRepresentation
bin100000000100000101011000…
…100001010100101110111101
3200111022012111002020120122000
4200010011120201110232331
5121440420130432012003
61215530501521012513
741463140061410361
oct4004053041245675
9614265432216560
10141018146360253
1140a29507315188
1213996317a84139
13608bc53332ac6
1426b745977d2a1
151148313dbc1a3
hex804158854bbd

141018146360253 has 32 divisors (see below), whose sum is σ = 209008787030400. Its totient is φ = 93970249286400.

The previous prime is 141018146360209. The next prime is 141018146360263. The reversal of 141018146360253 is 352063641810141.

It is a happy number.

141018146360253 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 8 + 1 + 4 + 636 + 0 + 2 + 5 + 3 = 666.

It is not a de Polignac number, because 141018146360253 - 210 = 141018146359229 is a prime.

It is a super-2 number, since 2×1410181463602532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141018146360199 and 141018146360208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141018146360263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 640331283 + ... + 640551471.

It is an arithmetic number, because the mean of its divisors is an integer number (6531524594700).

Almost surely, 2141018146360253 is an apocalyptic number.

It is an amenable number.

141018146360253 is a deficient number, since it is larger than the sum of its proper divisors (67990640670147).

141018146360253 is a wasteful number, since it uses less digits than its factorization.

141018146360253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230650 (or 230644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 141018146360253 in words is "one hundred forty-one trillion, eighteen billion, one hundred forty-six million, three hundred sixty thousand, two hundred fifty-three".

Divisors: 1 3 9 27 3331 7121 9993 21363 29979 64089 89937 192267 220189 660567 1981701 5945103 23720051 71160153 213480459 640441377 733449559 1567965869 2200348677 4703897607 6601046031 14111692821 19803138093 42335078463 5222894309639 15668682928917 47006048786751 141018146360253