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141142201044399 = 32237157411672787
BaseRepresentation
bin100000000101111000111010…
…110000011000110110101111
3200111202001200200000111010100
4200011320322300120312233
5121444433211431410044
61220103455415242143
741505121214003352
oct4005707260306657
9614661620014110
10141142201044399
1140a77086a13535
12139b6379679353
13609a863577059
1426bd4673d2299
15114b674cea869
hex805e3ac18daf

141142201044399 has 48 divisors (see below), whose sum is σ = 215770060306944. Its totient is φ = 88720554753600.

The previous prime is 141142201044301. The next prime is 141142201044413. The reversal of 141142201044399 is 993440102241141.

141142201044399 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 2 + 201 + 0 + 4 + 439 + 9 = 666.

It is not a de Polignac number, because 141142201044399 - 29 = 141142201043887 is a prime.

It is a super-2 number, since 2×1411422010443992 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142201034399) 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 47 ways as a sum of consecutive naturals, for example, 83539084 + ... + 85211870.

It is an arithmetic number, because the mean of its divisors is an integer number (4495209589728).

Almost surely, 2141142201044399 is an apocalyptic number.

141142201044399 is a deficient number, since it is larger than the sum of its proper divisors (74627859262545).

141142201044399 is a wasteful number, since it uses less digits than its factorization.

141142201044399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678628 (or 1678625 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 141142201044399 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred one million, forty-four thousand, three hundred ninety-nine".

Divisors: 1 3 9 23 69 71 207 213 639 1633 4899 5741 14697 17223 51669 132043 396129 407611 1188387 1222833 1672787 3668499 5018361 9375053 15055083 28125159 38474101 84375477 115422303 118767877 346266909 356303631 1068910893 2731661171 8194983513 9603470167 24584950539 28810410501 86431231503 220879813841 662639441523 681846381857 1987918324569 2045539145571 6136617436713 15682466782711 47047400348133 141142201044399