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132355533016014 = 237112413421134747
BaseRepresentation
bin11110000110000001101100…
…100001111000101111001110
3122100122001202122221200011220
4132012001230201320233032
5114322003112423003024
61145255143101224210
736610241331036030
oct3606015441705716
9570561678850156
10132355533016014
1139199736982170
1212a17480262066
1358b10c4abb539
14249808328dc50
151047d1021be79
hex78606c878bce

132355533016014 has 128 divisors (see below), whose sum is σ = 331418022211584. Its totient is φ = 34233427008000.

The previous prime is 132355533015983. The next prime is 132355533016027. The reversal of 132355533016014 is 410610335553231.

It is a super-2 number, since 2×1323555330160142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3809103789 + ... + 3809138535.

It is an arithmetic number, because the mean of its divisors is an integer number (2589203298528).

Almost surely, 2132355533016014 is an apocalyptic number.

132355533016014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132355533016014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165709011105792).

132355533016014 is an abundant number, since it is smaller than the sum of its proper divisors (199062489195570).

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

132355533016014 is a wasteful number, since it uses less digits than its factorization.

132355533016014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69222.

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 132355533016014 its reverse (410610335553231), we get a palindrome (542965868569245).

The spelling of 132355533016014 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, five hundred thirty-three million, sixteen thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 241 462 482 723 1446 1687 2651 3374 5061 5302 7953 10122 15906 18557 34211 34747 37114 55671 68422 69494 102633 104241 111342 205266 208482 239477 243229 376321 382217 478954 486458 718431 729687 752642 764434 1128963 1146651 1436862 1459374 2257926 2293302 2634247 2675519 5268494 5351038 7902741 8026557 8244851 8374027 15805482 16053114 16489702 16748054 24734553 25122081 49469106 50244162 57713957 58618189 90693361 92114297 115427914 117236378 173141871 175854567 181386722 184228594 272080083 276342891 346283742 351709134 544160166 552685782 634853527 644800079 1188729617 1269707054 1289600158 1904560581 1934400237 2377459234 3566188851 3809121162 3868800474 7132377702 8321107319 13076025787 16642214638 24963321957 26152051574 39228077361 49926643914 78456154722 91532180509 183064361018 274596541527 286483837697 549193083054 572967675394 859451513091 1718903026182 2005386863879 3151322214667 4010773727758 6016160591637 6302644429334 9453966644001 12032321183274 18907933288002 22059255502669 44118511005338 66177766508007 132355533016014