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21234040140 = 22351936750753
BaseRepresentation
bin10011110001101001…
…011011110101001100
32000210211121000002010
4103301221123311030
5321441403241030
613431011101220
71351125235365
oct236151336514
960724530063
1021234040140
119007075705
1241472a1810
132005259cc1
141056156b6c
1584427c6b0
hex4f1a5bd4c

21234040140 has 96 divisors (see below), whose sum is σ = 62756305920. Its totient is φ = 5349666816.

The previous prime is 21234040127. The next prime is 21234040171. The reversal of 21234040140 is 4104043212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393004 + ... + 443756.

It is an arithmetic number, because the mean of its divisors is an integer number (653711520).

Almost surely, 221234040140 is an apocalyptic number.

21234040140 is a gapful number since it is divisible by the number (20) 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 21234040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31378152960).

21234040140 is an abundant number, since it is smaller than the sum of its proper divisors (41522265780).

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

21234040140 is a wasteful number, since it uses less digits than its factorization.

21234040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51151 (or 51149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21234040140 its reverse (4104043212), we get a palindrome (25338083352).

The spelling of 21234040140 in words is "twenty-one billion, two hundred thirty-four million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 367 380 570 734 1101 1140 1468 1835 2202 3670 4404 5505 6973 7340 11010 13946 20919 22020 27892 34865 41838 50753 69730 83676 101506 104595 139460 152259 203012 209190 253765 304518 418380 507530 609036 761295 964307 1015060 1522590 1928614 2892921 3045180 3857228 4821535 5785842 9643070 11571684 14464605 18626351 19286140 28929210 37252702 55879053 57858420 74505404 93131755 111758106 186263510 223516212 279395265 353900669 372527020 558790530 707801338 1061702007 1117581060 1415602676 1769503345 2123404014 3539006690 4246808028 5308510035 7078013380 10617020070 21234040140