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132220134646240 = 2553319248983381
BaseRepresentation
bin11110000100000011100110…
…001010000110000111100000
3122100011010021112000211101211
4132010003212022012013200
5114312243313432134430
61145113031420235504
736564406123632214
oct3604034612060740
9570133245024354
10132220134646240
1139147276043a13
12129b519369bb94
1358a13c7697884
1424916bac64944
1510445384b172a
hex7840e62861e0

132220134646240 has 48 divisors (see below), whose sum is σ = 312464185074720. Its totient is φ = 52872118709760.

The previous prime is 132220134646207. The next prime is 132220134646283. The reversal of 132220134646240 is 42646431022231.

It is a super-2 number, since 2×1322201346462402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132220134646193 and 132220134646202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123960651 + ... + 125022730.

It is an arithmetic number, because the mean of its divisors is an integer number (6509670522390).

Almost surely, 2132220134646240 is an apocalyptic number.

132220134646240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220134646240 is an abundant number, since it is smaller than the sum of its proper divisors (180244050428480).

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

132220134646240 is a wasteful number, since it uses less digits than its factorization.

132220134646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248986715 (or 248986707 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 132220134646240 its reverse (42646431022231), we get a palindrome (174866565668471).

The spelling of 132220134646240 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-four million, six hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3319 6638 13276 16595 26552 33190 53104 66380 106208 132760 265520 531040 248983381 497966762 995933524 1244916905 1991867048 2489833810 3983734096 4979667620 7967468192 9959335240 19918670480 39837340960 826375841539 1652751683078 3305503366156 4131879207695 6611006732312 8263758415390 13222013464624 16527516830780 26444026929248 33055033661560 66110067323120 132220134646240