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12143754374521 = 7211216722712
BaseRepresentation
bin1011000010110111000000…
…1010100110110101111001
31120222221011010021222011211
42300231300022212311321
53042430402104441041
641454432545123121
72362233361023100
oct260556012466571
946887133258154
1012143754374521
113962156837100
12144165a9294a1
136a11c7032a63
142dda91aa3037
15160d48549481
hexb0b702a6d79

12143754374521 has 81 divisors (see below), whose sum is σ = 15678763724421. Its totient is φ = 9371294578800.

The previous prime is 12143754374519. The next prime is 12143754374671. The reversal of 12143754374521 is 12547345734121.

The square root of 12143754374521 is 3484789.

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

12143754374521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12143754374521 - 21 = 12143754374519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (12143754374021) 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, 44810901616 + ... + 44810901886.

Almost surely, 212143754374521 is an apocalyptic number.

12143754374521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12143754374521 is the 3484789-th square number.

12143754374521 is the 1742395-th centered octagonal number.

It is an amenable number.

12143754374521 is a deficient number, since it is larger than the sum of its proper divisors (3535009349900).

12143754374521 is an frugal number, since it uses more digits than its factorization.

12143754374521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 49.

Multiplying 12143754374521 by its sum of digits (49), we get a square (595043964351529 = 243935232).

12143754374521 divided by its sum of digits (49) gives a square (247831721929 = 4978272).

The spelling of 12143754374521 in words is "twelve trillion, one hundred forty-three billion, seven hundred fifty-four million, three hundred seventy-four thousand, five hundred twenty-one".

Divisors: 1 7 11 49 77 121 167 271 539 847 1169 1837 1897 2981 5929 8183 12859 13279 20207 20867 27889 32791 45257 73441 90013 141449 146069 195223 229537 306779 316799 497827 514087 807851 990143 1366561 1606759 2147453 2217593 3374569 3484789 3598609 5476097 5654957 7557919 8886361 12264647 15032171 23621983 24393523 38332679 39584699 52905433 62204527 83137109 85852529 134911117 165353881 268328753 370338031 435431689 581959763 600967703 914508199 944377819 1484022287 2048196049 4073718341 6401557393 6610644733 10388156009 14337372343 22530156539 44810901751 72717092063 100361606401 157711095773 247831721929 1103977670411 1734822053503 12143754374521