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141013768324 = 221121341012
BaseRepresentation
bin1000001101010100010…
…0110101100010000100
3111110222111021122110011
42003111010311202010
54302244011041244
6144440354240004
713121311153042
oct2032504654204
9443874248404
10141013768324
1154892661300
12233b5286004
13103b3910000
146b7a121392
153a04c22434
hex20d5135884

141013768324 has 135 divisors (see below), whose sum is σ = 296788949513. Its totient is φ = 58580808000.

The previous prime is 141013768297. The next prime is 141013768327. The reversal of 141013768324 is 423867310141.

The square root of 141013768324 is 375518.

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

It can be written as a sum of positive squares in 7 ways, for example, as 97332768324 + 43681000000 = 311982^2 + 209000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141013768327) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1396175874 + ... + 1396175974.

Almost surely, 2141013768324 is an apocalyptic number.

141013768324 is the 375518-th square number.

It is an amenable number.

141013768324 is an abundant number, since it is smaller than the sum of its proper divisors (155775181189).

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

141013768324 is an equidigital number, since it uses as much as digits as its factorization.

141013768324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 141013768324 in words is "one hundred forty-one billion, thirteen million, seven hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 101 121 143 169 202 242 286 338 404 484 572 676 1111 1313 1573 1859 2197 2222 2626 3146 3718 4394 4444 5252 6292 7436 8788 10201 12221 14443 17069 20402 20449 24167 24442 28561 28886 34138 40804 40898 48334 48884 57122 57772 68276 81796 96668 112211 114244 132613 158873 187759 221897 224422 265226 265837 314171 317746 375518 443794 448844 530452 531674 628342 635492 751036 887588 1063348 1234321 1256684 1458743 1723969 2065349 2440867 2468642 2884661 2917486 3447938 3455881 4130698 4881734 4937284 5769322 5834972 6895876 6911762 8261396 9763468 11538644 13823524 16046173 18963659 22411597 26849537 31731271 32092346 37927318 44823194 53699074 63462542 64184692 75854636 89646388 107398148 126925084 208600249 246527567 291350761 349043981 417200498 493055134 582701522 698087962 834400996 986110268 1165403044 1396175924 2711803237 3204858371 5423606474 6409716742 10847212948 12819433484 35253442081 70506884162 141013768324