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1400412440 = 235724120753
BaseRepresentation
bin101001101111000…
…1001100100011000
310121121010022201102
41103132021210120
510332001144230
6350543410532
746463211050
oct12336114430
93547108642
101400412440
11659550659
12330bb3a48
1319419441b
14d3dbc560
1582e27045
hex53789918

1400412440 has 64 divisors (see below), whose sum is σ = 3616176960. Its totient is φ = 478126080.

The previous prime is 1400412421. The next prime is 1400412463. The reversal of 1400412440 is 442140041.

It is a happy number.

It is a super-2 number, since 2×14004124402 = 3922310004213507200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57104 + ... + 77856.

It is an arithmetic number, because the mean of its divisors is an integer number (56502765).

Almost surely, 21400412440 is an apocalyptic number.

1400412440 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 1400412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808088480).

1400412440 is an abundant number, since it is smaller than the sum of its proper divisors (2215764520).

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

1400412440 is a wasteful number, since it uses less digits than its factorization.

1400412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21012 (or 21008 counting only the distinct ones).

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

The square root of 1400412440 is about 37422.0849232108. The cubic root of 1400412440 is about 1118.7987865495.

Adding to 1400412440 its reverse (442140041), we get a palindrome (1842552481).

The spelling of 1400412440 in words is "one billion, four hundred million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 241 280 482 964 1205 1687 1928 2410 3374 4820 6748 8435 9640 13496 16870 20753 33740 41506 67480 83012 103765 145271 166024 207530 290542 415060 581084 726355 830120 1162168 1452710 2905420 5001473 5810840 10002946 20005892 25007365 35010311 40011784 50014730 70020622 100029460 140041244 175051555 200058920 280082488 350103110 700206220 1400412440