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1441191420 = 223351927393
BaseRepresentation
bin101010111100110…
…1101010111111100
310201102212002222000
41111321231113330
510422421111140
6355001422300
750466632154
oct12571552774
93642762860
101441191420
1167a573499
1234279a990
1319c7716b6
14d9595764
15867cea30
hex55e6d5fc

1441191420 has 144 divisors (see below), whose sum is σ = 4732751520. Its totient is φ = 364041216.

The previous prime is 1441191419. The next prime is 1441191487. The reversal of 1441191420 is 241911441.

1441191420 is a `hidden beast` number, since 14 + 41 + 191 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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, 191244 + ... + 198636.

It is an arithmetic number, because the mean of its divisors is an integer number (32866330).

Almost surely, 21441191420 is an apocalyptic number.

1441191420 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 1441191420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366375760).

1441191420 is an abundant number, since it is smaller than the sum of its proper divisors (3291560100).

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

1441191420 is a wasteful number, since it uses less digits than its factorization.

1441191420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7449 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1441191420 is about 37963.0270131348. The cubic root of 1441191420 is about 1129.5545846790.

The spelling of 1441191420 in words is "one billion, four hundred forty-one million, one hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 361 380 513 540 570 684 722 855 1026 1083 1140 1444 1710 1805 2052 2166 2565 3249 3420 3610 4332 5130 5415 6498 7220 7393 9747 10260 10830 12996 14786 16245 19494 21660 22179 29572 32490 36965 38988 44358 48735 64980 66537 73930 88716 97470 110895 133074 140467 147860 194940 199611 221790 266148 280934 332685 399222 421401 443580 561868 665370 702335 798444 842802 998055 1264203 1330740 1404670 1685604 1996110 2107005 2528406 2668873 2809340 3792609 3992220 4214010 5056812 5337746 6321015 7585218 8006619 8428020 10675492 12642030 13344365 15170436 16013238 18963045 24019857 25284060 26688730 32026476 37926090 40033095 48039714 53377460 72059571 75852180 80066190 96079428 120099285 144119142 160132380 240198570 288238284 360297855 480397140 720595710 1441191420