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141395552676 = 22327412792
BaseRepresentation
bin1000001110101111010…
…1001110100110100100
3111111222002200022010100
42003223311032212210
54304034230141201
6144542313224100
713133625240000
oct2035365164644
9444862608110
10141395552676
1154a69115564
12234a1102030
1310444a44401
146bb4b03700
153a284d8886
hex20ebd4e9a4

141395552676 has 135 divisors (see below), whose sum is σ = 417287408811. Its totient is φ = 40367143152.

The previous prime is 141395552663. The next prime is 141395552729. The reversal of 141395552676 is 676255593141.

The square root of 141395552676 is 376026.

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

141395552676 is a `hidden beast` number, since 1 + 4 + 13 + 9 + 5 + 552 + 6 + 76 = 666.

141395552676 is nontrivially palindromic in base 13.

141395552676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 110551005 + ... + 110552283.

Almost surely, 2141395552676 is an apocalyptic number.

141395552676 is the 376026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141395552676

141395552676 is an abundant number, since it is smaller than the sum of its proper divisors (275891856135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141395552676 is an frugal number, since it uses more digits than its factorization.

141395552676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 1291 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 141395552676 in words is "one hundred forty-one billion, three hundred ninety-five million, five hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1279 1372 1764 2058 2401 2558 3087 3837 4116 4802 5116 6174 7203 7674 8953 9604 11511 12348 14406 15348 17906 21609 23022 26859 28812 35812 43218 46044 53718 62671 80577 86436 107436 125342 161154 188013 250684 322308 376026 438697 564039 752052 877394 1128078 1316091 1635841 1754788 2256156 2632182 3070879 3271682 3948273 4907523 5264364 6141758 6543364 7896546 9212637 9815046 11450887 12283516 14722569 15793092 18425274 19630092 22901774 27637911 29445138 34352661 36850548 45803548 55275822 58890276 68705322 80156209 103057983 110551644 137410644 160312418 206115966 240468627 320624836 412231932 480937254 561093463 721405881 961874508 1122186926 1442811762 1683280389 2244373852 2885623524 3366560778 3927654241 5049841167 6733121556 7855308482 10099682334 11782962723 15710616964 20199364668 23565925446 35348888169 47131850892 70697776338 141395552676