Search a number
-
+
132243010351374 = 2313193710323414537
BaseRepresentation
bin11110000100011000111001…
…101001111111000100001110
3122100020022022202201001111010
4132010120321221333010032
5114313132141122220444
61145131333354110050
736566146035132126
oct3604307151770416
9570208282631433
10132243010351374
1139155a4485884a
12129b96b871b326
1358a3601a87c80
14249284b039c86
151044e2691d2b9
hex784639a7f10e

132243010351374 has 128 divisors (see below), whose sum is σ = 310915094031360. Its totient is φ = 37142572114944.

The previous prime is 132243010351373. The next prime is 132243010351423. The reversal of 132243010351374 is 473153010342231.

132243010351374 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322430103513742 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132243010351373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6059367 + ... + 17355170.

It is an arithmetic number, because the mean of its divisors is an integer number (2429024172120).

Almost surely, 2132243010351374 is an apocalyptic number.

132243010351374 is an abundant number, since it is smaller than the sum of its proper divisors (178672083679986).

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

132243010351374 is a wasteful number, since it uses less digits than its factorization.

132243010351374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23414714.

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 132243010351374 in words is "one hundred thirty-two trillion, two hundred forty-three billion, ten million, three hundred fifty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 74 78 103 111 114 206 222 247 309 481 494 618 703 741 962 1339 1406 1443 1482 1957 2109 2678 2886 3811 3914 4017 4218 5871 7622 8034 9139 11433 11742 18278 22866 25441 27417 49543 50882 54834 72409 76323 99086 144818 148629 152646 217227 297258 434454 941317 1882634 2823951 5647902 23414537 46829074 70243611 140487222 304388981 444876203 608777962 866337869 889752406 913166943 1334628609 1732675738 1826333886 2411697311 2599013607 2669257218 4823394622 5198027214 5783390639 7235091933 11262392297 11566781278 14470183866 16460419511 17350171917 22524784594 31352065043 32920839022 33787176891 34700343834 45822248909 49381258533 62704130086 67574353782 89232800507 91644497818 94056195129 98762517066 137466746727 178465601014 188112390258 213985453643 267698401521 274933493454 427970907286 535396803042 595689235817 641956360929 1160026406591 1191378471634 1283912721858 1695423209633 1787067707451 2320052813182 3390846419266 3480079219773 3574135414902 5086269628899 6960158439546 10172539257798 22040501725229 44081003450458 66121505175687 132243010351374