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20132400402024 = 2331377261784319
BaseRepresentation
bin1001001001111011100001…
…00100110000111001101000
32122021122020121011210211020
410210331300210300321220
510114322124000331044
6110452410322132440
74145342435615601
oct444756044607150
978248217153736
1020132400402024
1164621151a3799
1223119641b1120
13b306285851a1
144d85b044cda8
1524da537eea19
hex124f70930e68

20132400402024 has 64 divisors (see below), whose sum is σ = 50699680012800. Its totient is φ = 6661645446144.

The previous prime is 20132400402017. The next prime is 20132400402047. The reversal of 20132400402024 is 42020400423102.

It is a super-2 number, since 2×201324004020242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20132400401985 and 20132400402003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238722537 + ... + 238806855.

It is an arithmetic number, because the mean of its divisors is an integer number (792182500200).

Almost surely, 220132400402024 is an apocalyptic number.

20132400402024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20132400402024 is an abundant number, since it is smaller than the sum of its proper divisors (30567279610776).

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

20132400402024 is a wasteful number, since it uses less digits than its factorization.

20132400402024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157082 (or 157078 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20132400402024 its reverse (42020400423102), we get a palindrome (62152800825126).

The spelling of 20132400402024 in words is "twenty trillion, one hundred thirty-two billion, four hundred million, four hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 822 1096 1644 3288 72617 84319 145234 168638 217851 252957 290468 337276 435702 505914 580936 674552 871404 1011828 1742808 2023656 9948529 11551703 19897058 23103406 29845587 34655109 39794116 46206812 59691174 69310218 79588232 92413624 119382348 138620436 238764696 277240872 6122992823 12245985646 18368978469 24491971292 36737956938 48983942584 73475913876 146951827752 838850016751 1677700033502 2516550050253 3355400067004 5033100100506 6710800134008 10066200201012 20132400402024