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20041244400 = 2435265925343
BaseRepresentation
bin10010101010100011…
…010001111011110000
31220201201010200221010
4102222203101323300
5312021024310100
613112401230520
71306432523652
oct225243217360
956651120833
1020041244400
11855483a601
123a73932440
131b750b89c8
14d819806d2
157c46b6750
hex4aa8d1ef0

20041244400 has 120 divisors (see below), whose sum is σ = 64298741760. Its totient is φ = 5336011520.

The previous prime is 20041244387. The next prime is 20041244401. The reversal of 20041244400 is 444214002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041244401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778129 + ... + 803471.

It is an arithmetic number, because the mean of its divisors is an integer number (535822848).

Almost surely, 220041244400 is an apocalyptic number.

20041244400 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 20041244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32149370880).

20041244400 is an abundant number, since it is smaller than the sum of its proper divisors (44257497360).

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

20041244400 is a wasteful number, since it uses less digits than its factorization.

20041244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26023 (or 26012 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20041244400 its reverse (444214002), we get a palindrome (20485458402).

The spelling of 20041244400 in words is "twenty billion, forty-one million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 659 1200 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 16475 19770 25343 26360 31632 32950 39540 49425 50686 52720 65900 76029 79080 98850 101372 126715 131800 152058 158160 197700 202744 253430 263600 304116 380145 395400 405488 506860 608232 633575 760290 790800 1013720 1216464 1267150 1520580 1900725 2027440 2534300 3041160 3801450 5068600 6082320 7602900 10137200 15205800 16701037 30411600 33402074 50103111 66804148 83505185 100206222 133608296 167010370 200412444 250515555 267216592 334020740 400824888 417525925 501031110 668041480 801649776 835051850 1002062220 1252577775 1336082960 1670103700 2004124440 2505155550 3340207400 4008248880 5010311100 6680414800 10020622200 20041244400