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1441169640 = 233255375533
BaseRepresentation
bin101010111100110…
…1000000011101000
310201102211000002100
41111321220003220
510422414412030
6355001133400
750466511521
oct12571500350
93642730070
101441169640
1167a559099
1234278a260
1319c764801
14d958b848
15867c8360
hex55e680e8

1441169640 has 96 divisors (see below), whose sum is σ = 4772238120. Its totient is φ = 377055744.

The previous prime is 1441169623. The next prime is 1441169651. The reversal of 1441169640 is 469611441.

1441169640 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 6 + 9 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1343515716 + 97653924 = 36654^2 + 9882^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1441169595 and 1441169604.

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, 18687 + ... + 56846.

Almost surely, 21441169640 is an apocalyptic number.

1441169640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441169640 is an abundant number, since it is smaller than the sum of its proper divisors (3331068480).

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

1441169640 is a wasteful number, since it uses less digits than its factorization.

1441169640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75603 (or 75596 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1441169640 is about 37962.7401539984. The cubic root of 1441169640 is about 1129.5488945205.

The spelling of 1441169640 in words is "one billion, four hundred forty-one million, one hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 75533 151066 226599 302132 377665 453198 604264 679797 755330 906396 1132995 1359594 1510660 1812792 2265990 2719188 3021320 3398985 4003249 4531980 5438376 6797970 8006498 9063960 12009747 13595940 16012996 20016245 24019494 27191880 32025992 36029241 40032490 48038988 60048735 72058482 80064980 96077976 120097470 144116964 160129960 180146205 240194940 288233928 360292410 480389880 720584820 1441169640