Search a number
-
+
21440442720 = 253544667589
BaseRepresentation
bin10011111101111100…
…110011000101100000
32001100012222100012010
4103331330303011200
5322402223131340
613503303032520
71356212520234
oct237574630540
961305870163
1021440442720
119102630a54
1241a443b740
132038c465c8
1410757245c4
1585744db80
hex4fdf33160

21440442720 has 48 divisors (see below), whose sum is σ = 67537396080. Its totient is φ = 5717451264.

The previous prime is 21440442713. The next prime is 21440442733. The reversal of 21440442720 is 2724404412.

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 (30).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22333315 + ... + 22334274.

It is an arithmetic number, because the mean of its divisors is an integer number (1407029085).

Almost surely, 221440442720 is an apocalyptic number.

21440442720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21440442720 is an abundant number, since it is smaller than the sum of its proper divisors (46096953360).

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

21440442720 is a wasteful number, since it uses less digits than its factorization.

21440442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44667607 (or 44667599 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The spelling of 21440442720 in words is "twenty-one billion, four hundred forty million, four hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 44667589 89335178 134002767 178670356 223337945 268005534 357340712 446675890 536011068 670013835 714681424 893351780 1072022136 1340027670 1429362848 1786703560 2144044272 2680055340 3573407120 4288088544 5360110680 7146814240 10720221360 21440442720