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42044403300 = 22352257587929
BaseRepresentation
bin100111001010000010…
…101010111001100100
311000112010221222121020
4213022002222321210
51142101331401200
631152005251140
73015620350164
oct471202527144
9130463858536
1042044403300
1116915a73549
128194703ab0
133c707a5763
14206bd045a4
15116121aea0
hex9ca0aae64

42044403300 has 144 divisors (see below), whose sum is σ = 122461536960. Its totient is φ = 11137187840.

The previous prime is 42044403287. The next prime is 42044403361. The reversal of 42044403300 is 330444024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45257236 + ... + 45258164.

It is an arithmetic number, because the mean of its divisors is an integer number (850427340).

Almost surely, 242044403300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42044403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61230768480).

42044403300 is an abundant number, since it is smaller than the sum of its proper divisors (80417133660).

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

42044403300 is a wasteful number, since it uses less digits than its factorization.

42044403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1783 counting only the distinct ones).

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

Adding to 42044403300 its reverse (330444024), we get a palindrome (42374847324).

The spelling of 42044403300 in words is "forty-two billion, forty-four million, four hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 587 771 929 1028 1174 1285 1542 1761 1858 2348 2570 2787 2935 3084 3522 3716 3855 4645 5140 5574 5870 6425 7044 7710 8805 9290 11148 11740 12850 13935 14675 15420 17610 18580 19275 23225 25700 27870 29350 35220 38550 44025 46450 55740 58700 69675 77100 88050 92900 139350 150859 176100 238753 278700 301718 452577 477506 545323 603436 716259 754295 905154 955012 1090646 1193765 1432518 1508590 1635969 1810308 2181292 2262885 2387530 2726615 2865036 3017180 3271938 3581295 3771475 4525770 4775060 5453230 5968825 6543876 7162590 7542950 8179845 9051540 10906460 11314425 11937650 13633075 14325180 15085900 16359690 17906475 22628850 23875300 27266150 32719380 35812950 40899225 45257700 54532300 71625900 81798450 140148011 163596900 280296022 420444033 560592044 700740055 840888066 1401480110 1681776132 2102220165 2802960220 3503700275 4204440330 7007400550 8408880660 10511100825 14014801100 21022201650 42044403300