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1441022440 = 2351113219379
BaseRepresentation
bin101010111100100…
…0100000111101000
310201102112112011111
41111321010013220
510422400204230
6354554040104
750465326414
oct12571040750
93642475144
101441022440
1167a468540
12342719034
1319c712800
14d954dd44
158679992a
hex55e441e8

1441022440 has 96 divisors (see below), whose sum is σ = 3830263200. Its totient is φ = 483674880.

The previous prime is 1441022413. The next prime is 1441022497. The reversal of 1441022440 is 442201441.

It is a super-3 number, since 3×14410224403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64671 + ... + 84049.

It is an arithmetic number, because the mean of its divisors is an integer number (39898575).

Almost surely, 21441022440 is an apocalyptic number.

1441022440 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 1441022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915131600).

1441022440 is an abundant number, since it is smaller than the sum of its proper divisors (2389240760).

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

1441022440 is a wasteful number, since it uses less digits than its factorization.

1441022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19427 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1441022440 is about 37960.8013614044. The cubic root of 1441022440 is about 1129.5104361152.

Adding to 1441022440 its reverse (442201441), we get a palindrome (1883223881).

The spelling of 1441022440 in words is "one billion, four hundred forty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2860 3380 3718 5720 6760 7436 9295 14872 18590 19379 37180 38758 74360 77516 96895 155032 193790 213169 251927 387580 426338 503854 775160 852676 1007708 1065845 1259635 1705352 2015416 2131690 2519270 2771197 3275051 4263380 5038540 5542394 6550102 8526760 10077080 11084788 13100204 13855985 16375255 22169576 26200408 27711970 32750510 36025561 55423940 65501020 72051122 110847880 131002040 144102244 180127805 288204488 360255610 720511220 1441022440