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21114413232 = 2431167596857
BaseRepresentation
bin10011101010100001…
…000110000010110000
32000111111111022210220
4103222201012002300
5321220242210412
613411055053040
71345143360033
oct235241060260
960444438726
1021114413232
118a555991a0
124113211180
131cb6533b53
1410442d701a
158389ec68c
hex4ea8460b0

21114413232 has 80 divisors (see below), whose sum is σ = 60392479872. Its totient is φ = 6302799360.

The previous prime is 21114413231. The next prime is 21114413239. The reversal of 21114413232 is 23231441112.

It is a super-2 number, since 2×211144132322 (a number of 21 digits) contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (21114413231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263053 + ... + 333804.

Almost surely, 221114413232 is an apocalyptic number.

21114413232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21114413232 is an abundant number, since it is smaller than the sum of its proper divisors (39278066640).

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

21114413232 is a wasteful number, since it uses less digits than its factorization.

21114413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596946 (or 596940 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 21114413232 its reverse (23231441112), we get a palindrome (44345854344).

The spelling of 21114413232 in words is "twenty-one billion, one hundred fourteen million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2948 3216 4422 5896 8844 11792 17688 35376 596857 1193714 1790571 2387428 3581142 4774856 6565427 7162284 9549712 13130854 14324568 19696281 26261708 28649136 39392562 39989419 52523416 78785124 79978838 105046832 119968257 157570248 159957676 239936514 315140496 319915352 439883609 479873028 639830704 879767218 959746056 1319650827 1759534436 1919492112 2639301654 3519068872 5278603308 7038137744 10557206616 21114413232