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2043234020400 = 243522377716321
BaseRepresentation
bin11101101110111010001…
…111001110110000110000
321020022221111021122102220
4131232322033032300300
5231434020402123100
64202352044041040
7300422146420536
oct35567217166060
97208844248386
102043234020400
11718592379261
1228bbaab33180
1311a8a3637371
1470c70780156
1538238882aa0
hex1dbba3cec30

2043234020400 has 120 divisors (see below), whose sum is σ = 6547922324304. Its totient is φ = 544632422400.

The previous prime is 2043234020393. The next prime is 2043234020413. The reversal of 2043234020400 is 40204323402.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494240 + ... + 3210560.

Almost surely, 22043234020400 is an apocalyptic number.

2043234020400 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 2043234020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273961162152).

2043234020400 is an abundant number, since it is smaller than the sum of its proper divisors (4504688303904).

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

2043234020400 is a wasteful number, since it uses less digits than its factorization.

2043234020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718719 (or 718708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2043234020400 its reverse (40204323402), we get a palindrome (2083438343802).

The spelling of 2043234020400 in words is "two trillion, forty-three billion, two hundred thirty-four million, twenty 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 1200 2377 4754 7131 9508 11885 14262 19016 23770 28524 35655 38032 47540 57048 59425 71310 95080 114096 118850 142620 178275 190160 237700 285240 356550 475400 570480 713100 716321 950800 1426200 1432642 2148963 2852400 2865284 3581605 4297926 5730568 7163210 8595852 10744815 11461136 14326420 17191704 17908025 21489630 28652840 34383408 35816050 42979260 53724075 57305680 71632100 85958520 107448150 143264200 171917040 214896300 286528400 429792600 859585200 1702695017 3405390034 5108085051 6810780068 8513475085 10216170102 13621560136 17026950170 20432340204 25540425255 27243120272 34053900340 40864680408 42567375425 51080850510 68107800680 81729360816 85134750850 102161701020 127702126275 136215601360 170269501700 204323402040 255404252550 340539003400 408646804080 510808505100 681078006800 1021617010200 2043234020400