Search a number
-
+
31204120024032 = 2531917107521943
BaseRepresentation
bin1110001100001010001100…
…11111010101001111100000
311002111002021202221202221020
413012011012133111033200
513042222014211232112
6150210550322125440
76400265116620144
oct706050637251740
9132432252852836
1031204120024032
119a4065829a18a
1235bb6987b0880
1314546c74804a7
1479c404b4d224
15391a5654748c
hex1c61467d53e0

31204120024032 has 48 divisors (see below), whose sum is σ = 86221910597760. Its totient is φ = 9853932638592.

The previous prime is 31204120024019. The next prime is 31204120024057. The reversal of 31204120024032 is 23042002140213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 31204120023993 and 31204120024011.

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, 8553759148 + ... + 8553762795.

It is an arithmetic number, because the mean of its divisors is an integer number (1796289804120).

Almost surely, 231204120024032 is an apocalyptic number.

31204120024032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31204120024032 is an abundant number, since it is smaller than the sum of its proper divisors (55017790573728).

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

31204120024032 is a wasteful number, since it uses less digits than its factorization.

31204120024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107521975 (or 17107521967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31204120024032 its reverse (23042002140213), we get a palindrome (54246122164245).

The spelling of 31204120024032 in words is "thirty-one trillion, two hundred four billion, one hundred twenty million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 17107521943 34215043886 51322565829 68430087772 102645131658 136860175544 205290263316 273720351088 325042916917 410580526632 547440702176 650085833834 821161053264 975128750751 1300171667668 1642322106528 1950257501502 2600343335336 3900515003004 5200686670672 7801030006008 10401373341344 15602060012016 31204120024032