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141397808841 = 361927332
BaseRepresentation
bin1000001110101111110…
…1110101011011001001
3111111222020220221000000
42003223331311123021
54304040314340331
6144542433433213
713133653354512
oct2035375653311
9444866827000
10141397808841
1154a6a416663
12234a1a0b809
1310445354313
146bb512da09
153a287d20e6
hex20ebf756c9

141397808841 has 63 divisors (see below), whose sum is σ = 224050531959. Its totient is φ = 89182045872.

The previous prime is 141397808813. The next prime is 141397808857. The reversal of 141397808841 is 148808793141.

The square root of 141397808841 is 376029.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 138328205625 + 3069603216 = 371925^2 + 55404^2 .

It is not a de Polignac number, because 141397808841 - 211 = 141397806793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141397808861) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 192902511 + ... + 192903243.

Almost surely, 2141397808841 is an apocalyptic number.

141397808841 is the 376029-th square number.

141397808841 is the 188015-th centered octagonal number.

It is an amenable number.

141397808841 is a deficient number, since it is larger than the sum of its proper divisors (82652723118).

141397808841 is an frugal number, since it uses more digits than its factorization.

141397808841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 141397808841 in words is "one hundred forty-one billion, three hundred ninety-seven million, eight hundred eight thousand, eight hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 243 361 513 729 733 1083 1539 2199 3249 4617 6597 9747 13851 13927 19791 29241 41781 59373 87723 125343 178119 263169 264613 376029 534357 537289 793839 1128087 1611867 2381517 3384261 4835601 7144551 10152783 10208491 14506803 21433653 30625473 43520409 64300959 91876419 130561227 192902877 193961329 275629257 391683681 581883987 826887771 1745651961 2480663313 5236955883 7441989939 15710867649 47132602947 141397808841