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1401244040 = 2357172910151
BaseRepresentation
bin101001110000101…
…0100100110001000
310121122200120110102
41103201110212020
510332204302130
6351013304532
746503243410
oct12341244610
93548616412
101401244040
11659a69429
12331335148
131943c5ab1
14d4157640
158303d645
hex53854988

1401244040 has 128 divisors (see below), whose sum is σ = 3947097600. Its totient is φ = 436531200.

The previous prime is 1401244027. The next prime is 1401244043. The reversal of 1401244040 is 404421041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1401244043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132965 + ... + 143115.

It is an arithmetic number, because the mean of its divisors is an integer number (30836700).

Almost surely, 21401244040 is an apocalyptic number.

1401244040 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 1401244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973548800).

1401244040 is an abundant number, since it is smaller than the sum of its proper divisors (2545853560).

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

1401244040 is a wasteful number, since it uses less digits than its factorization.

1401244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1401244040 is about 37433.1943600863. The cubic root of 1401244040 is about 1119.0201996469.

Adding to 1401244040 its reverse (404421041), we get a palindrome (1805665081).

The spelling of 1401244040 in words is "one billion, four hundred one million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 29 34 35 40 56 58 68 70 85 116 119 136 140 145 170 203 232 238 280 290 340 406 476 493 580 595 680 812 952 986 1015 1160 1190 1624 1972 2030 2380 2465 3451 3944 4060 4760 4930 6902 8120 9860 10151 13804 17255 19720 20302 27608 34510 40604 50755 69020 71057 81208 101510 138040 142114 172567 203020 284228 294379 345134 355285 406040 568456 588758 690268 710570 862835 1177516 1207969 1380536 1421140 1471895 1725670 2060653 2355032 2415938 2842280 2943790 3451340 4121306 4831876 5004443 5887580 6039845 6902680 8242612 9663752 10008886 10303265 11775160 12079690 16485224 20017772 20606530 24159380 25022215 35031101 40035544 41213060 48318760 50044430 70062202 82426120 100088860 140124404 175155505 200177720 280248808 350311010 700622020 1401244040