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141200441011431 = 32127719400142943
BaseRepresentation
bin100000000110101111001010…
…001000001110110011100111
3200111221122000111210100112100
4200012233022020032303213
5122001412000344331211
61220150330452023143
741512252362363534
oct4006571210166347
9614848014710470
10141200441011431
1140a9985295479a
1213a05712001ab3
1360a31b54989c9
1426c21d0213d8b
15114ce32c8c156
hex806bca20ece7

141200441011431 has 48 divisors (see below), whose sum is σ = 205904290775040. Its totient is φ = 93237044544000.

The previous prime is 141200441011411. The next prime is 141200441011453. The reversal of 141200441011431 is 134110144002141.

141200441011431 is a `hidden beast` number, since 1 + 4 + 1 + 200 + 4 + 4 + 10 + 11 + 431 = 666.

It is not a de Polignac number, because 141200441011431 - 29 = 141200441010919 is a prime.

It is a super-2 number, since 2×1412004410114312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141200441011395 and 141200441011404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141200441011411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3288068346 + ... + 3288111288.

It is an arithmetic number, because the mean of its divisors is an integer number (4289672724480).

Almost surely, 2141200441011431 is an apocalyptic number.

141200441011431 is a deficient number, since it is larger than the sum of its proper divisors (64703849763609).

141200441011431 is a wasteful number, since it uses less digits than its factorization.

141200441011431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47796 (or 47793 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 141200441011431 its reverse (134110144002141), we get a palindrome (275310585013572).

The spelling of 141200441011431 in words is "one hundred forty-one trillion, two hundred billion, four hundred forty-one million, eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 127 381 719 1143 2157 4001 6471 12003 36009 42943 91313 128829 273939 386487 508127 821817 1524381 2876719 4573143 5453761 8630157 16361283 25890471 30876017 49083849 92628051 171814943 277884153 365343313 515444829 1096029939 1546334487 3288089817 3921254159 11763762477 21820497761 35291287431 65461493283 123534944017 196384479849 370604832051 1111814496153 15688937890159 47066813670477 141200441011431