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1044141420 = 223577931469
BaseRepresentation
bin111110001111000…
…101010101101100
32200202201212202110
4332033011111230
54114300011140
6251335324020
734606025040
oct7617052554
92622655673
101044141420
114964329a3
12251820610
13138423a7a
149c95c020
1561a00380
hex3e3c556c

1044141420 has 96 divisors (see below), whose sum is σ = 3383654400. Its totient is φ = 235632384.

The previous prime is 1044141403. The next prime is 1044141431. The reversal of 1044141420 is 241414401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17446 + ... + 48914.

It is an arithmetic number, because the mean of its divisors is an integer number (35246400).

Almost surely, 21044141420 is an apocalyptic number.

1044141420 is a gapful number since it is divisible by the number (10) 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 1044141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691827200).

1044141420 is an abundant number, since it is smaller than the sum of its proper divisors (2339512980).

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

1044141420 is a wasteful number, since it uses less digits than its factorization.

1044141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31567 (or 31565 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1044141420 is about 32313.1771882618. The cubic root of 1044141420 is about 1014.5024683510.

Adding to 1044141420 its reverse (241414401), we get a palindrome (1285555821).

The spelling of 1044141420 in words is "one billion, forty-four million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 790 948 1106 1185 1580 1659 2212 2370 2765 3318 4740 5530 6636 8295 11060 16590 31469 33180 62938 94407 125876 157345 188814 220283 314690 377628 440566 472035 629380 660849 881132 944070 1101415 1321698 1888140 2202830 2486051 2643396 3304245 4405660 4972102 6608490 7458153 9944204 12430255 13216980 14916306 17402357 24860510 29832612 34804714 37290765 49721020 52207071 69609428 74581530 87011785 104414142 149163060 174023570 208828284 261035355 348047140 522070710 1044141420