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141212604990681 = 3272439212892
BaseRepresentation
bin100000000110111010011111…
…001010001000010011011001
3200111222210102020110112010100
4200012322133022020103121
5122002111403334200211
61220200101500210013
741513162664452100
oct4006723712102331
9614883366415110
10141212604990681
1140aa3a25126404
1213a07b47839909
1360a43a35b5273
1426c2a25919037
15114d3e5aee156
hex806e9f2884d9

141212604990681 has 81 divisors (see below), whose sum is σ = 238001964558111. Its totient is φ = 80446647814848.

The previous prime is 141212604990601. The next prime is 141212604990683. The reversal of 141212604990681 is 186099406212141.

The square root of 141212604990681 is 11883291.

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

141212604990681 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 12 + 60 + 499 + 0 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114559753221081 + 26652851769600 = 10703259^2 + 5162640^2 .

It is not a de Polignac number, because 141212604990681 - 221 = 141212602893529 is a prime.

It is a super-2 number, since 2×1412126049906812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141212604990683) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 109552059085 + ... + 109552060373.

Almost surely, 2141212604990681 is an apocalyptic number.

141212604990681 is the 11883291-st square number.

141212604990681 is the 5941646-th centered octagonal number.

It is an amenable number.

141212604990681 is a deficient number, since it is larger than the sum of its proper divisors (96789359567430).

141212604990681 is an frugal number, since it uses more digits than its factorization.

141212604990681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 141212604990681 in words is "one hundred forty-one trillion, two hundred twelve billion, six hundred four million, nine hundred ninety thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 439 441 1289 1317 3073 3867 3951 9023 9219 11601 21511 27069 27657 63161 64533 81207 189483 192721 193599 565871 568449 578163 1349047 1661521 1697613 1734489 3961097 4047141 4984563 5092839 9443329 11630647 11883291 12141423 14953689 27727679 28329987 34891941 35649873 81414529 83183037 84989961 104675823 244243587 248417369 249549111 729407719 732730761 745252107 1738921583 2188223157 2235756321 5105854033 5216764749 6564669471 12172451081 15317562099 15650294247 35740978231 36517353243 45952686297 107222934693 109552059729 320209988641 321668804079 960629965923 2241469920487 2881889897769 6724409761461 15690289443409 20173229284383 47070868330227 141212604990681