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133450032144 = 243111354735543
BaseRepresentation
bin111110001001000111…
…1011110010000010000
3110202110100210001000010
41330102033132100100
54141301202012034
6141150041154520
712433005362052
oct1742217362020
9422410701003
10133450032144
1151661078370
1221a4418ba40
13c779897580
14665d77b8d2
153710ba03e9
hex1f123de410

133450032144 has 160 divisors (see below), whose sum is σ = 405768029184. Its totient is φ = 37259389440.

The previous prime is 133450032143. The next prime is 133450032151. The reversal of 133450032144 is 441230054331.

It is a super-2 number, since 2×1334500321442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133450032143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3736837 + ... + 3772379.

Almost surely, 2133450032144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133450032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202884014592).

133450032144 is an abundant number, since it is smaller than the sum of its proper divisors (272317997040).

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

133450032144 is a wasteful number, since it uses less digits than its factorization.

133450032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36125 (or 36119 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 133450032144 its reverse (441230054331), we get a palindrome (574680086475).

The spelling of 133450032144 in words is "one hundred thirty-three billion, four hundred fifty million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 547 572 624 858 1094 1144 1641 1716 2188 2288 3282 3432 4376 6017 6564 6864 7111 8752 12034 13128 14222 18051 21333 24068 26256 28444 35543 36102 42666 48136 56888 71086 72204 78221 85332 96272 106629 113776 142172 144408 156442 170664 213258 234663 284344 288816 312884 341328 390973 426516 462059 469326 568688 625768 781946 853032 924118 938652 1172919 1251536 1386177 1563892 1706064 1848236 1877304 2345838 2772354 3127784 3696472 3754608 4691676 5082649 5544708 6255568 7392944 9383352 10165298 11089416 15247947 18766704 19442021 20330596 22178832 30495894 38884042 40661192 58326063 60991788 77768084 81322384 116652126 121983576 155536168 213862231 233304252 243967152 252746273 311072336 427724462 466608504 505492546 641586693 758238819 855448924 933217008 1010985092 1283173386 1516477638 1710897848 2021970184 2566346772 2780209003 3032955276 3421795696 4043940368 5132693544 5560418006 6065910552 8340627009 10265387088 11120836012 12131821104 16681254018 22241672024 33362508036 44483344048 66725016072 133450032144