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2132144234424 = 2332113919285161
BaseRepresentation
bin11111000001101101101…
…100110001111110111000
321112211102210112111020200
4133001231230301332320
5234413112411000144
64311254334322200
7310020343651521
oct37015554617670
97484383474220
102132144234424
11752267920a86
122a5282959360
131260a2743a69
14752a6a3b848
153a6de1e4c69
hex1f06db31fb8

2132144234424 has 96 divisors (see below), whose sum is σ = 5832019159200. Its totient is φ = 703656253440.

The previous prime is 2132144234329. The next prime is 2132144234503. The reversal of 2132144234424 is 4244324412312.

2132144234424 is a `hidden beast` number, since 2 + 13 + 214 + 4 + 2 + 3 + 4 + 424 = 666.

It is a super-2 number, since 2×21321442344242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7334404 + ... + 7619564.

It is an arithmetic number, because the mean of its divisors is an integer number (60750199575).

Almost surely, 22132144234424 is an apocalyptic number.

2132144234424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132144234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916009579600).

2132144234424 is an abundant number, since it is smaller than the sum of its proper divisors (3699874924776).

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

2132144234424 is a wasteful number, since it uses less digits than its factorization.

2132144234424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286205 (or 286198 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2132144234424 its reverse (4244324412312), we get a palindrome (6376468646736).

The spelling of 2132144234424 in words is "two trillion, one hundred thirty-two billion, one hundred forty-four million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 919 1017 1356 1838 2034 2712 2757 3676 4068 5514 7352 8136 8271 11028 16542 22056 33084 66168 103847 207694 285161 311541 415388 570322 623082 830776 855483 934623 1140644 1246164 1710966 1869246 2281288 2492328 2566449 3421932 3738492 5132898 6843864 7476984 10265796 20531592 32223193 64446386 96669579 128892772 193339158 257785544 262062959 290008737 386678316 524125918 580017474 773356632 786188877 1048251836 1160034948 1572377754 2096503672 2320069896 2358566631 3144755508 4717133262 6289511016 9434266524 18868533048 29613114367 59226228734 88839343101 118452457468 177678686202 236904914936 266518029303 355357372404 533036058606 710714744808 1066072117212 2132144234424