Search a number
-
+
244421929944 = 23339711165379
BaseRepresentation
bin1110001110100010101…
…1101010101111011000
3212100220011222112112000
43203220223222233120
513001034003224234
6304141430121000
723442001060563
oct3435053525730
9770804875460
10244421929944
11947278976a5
123b4544b0160
131a08354241a
14bb89a754da
156558277899
hex38e8aeabd8

244421929944 has 64 divisors (see below), whose sum is σ = 679649616000. Its totient is φ = 81389999520.

The previous prime is 244421929933. The next prime is 244421929949. The reversal of 244421929944 is 449929124442.

244421929944 is a `hidden beast` number, since 2 + 4 + 4 + 421 + 92 + 99 + 44 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244421929949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372954 + ... + 792425.

It is an arithmetic number, because the mean of its divisors is an integer number (10619525250).

Almost surely, 2244421929944 is an apocalyptic number.

244421929944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244421929944 is an abundant number, since it is smaller than the sum of its proper divisors (435227686056).

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

244421929944 is a wasteful number, since it uses less digits than its factorization.

244421929944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166365 (or 1166355 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 244421929944 in words is "two hundred forty-four billion, four hundred twenty-one million, nine hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 971 1942 2913 3884 5826 7768 8739 11652 17478 23304 26217 34956 52434 69912 104868 209736 1165379 2330758 3496137 4661516 6992274 9323032 10488411 13984548 20976822 27969096 31465233 41953644 62930466 83907288 125860932 251721864 1131583009 2263166018 3394749027 4526332036 6789498054 9052664072 10184247081 13578996108 20368494162 27157992216 30552741243 40736988324 61105482486 81473976648 122210964972 244421929944