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1401013040 = 24573137993
BaseRepresentation
bin101001110000001…
…1100001100110000
310121122020211120212
41103200130030300
510332124404130
6351004323252
746501262060
oct12340341460
93548224525
101401013040
11659920919
12331243528
131943448cb
14d40d73a0
1582ee4e95
hex5381c330

1401013040 has 80 divisors (see below), whose sum is σ = 3735052608. Its totient is φ = 478752768.

The previous prime is 1401013021. The next prime is 1401013111. The reversal of 1401013040 is 403101041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 171284 + ... + 179276.

Almost surely, 21401013040 is an apocalyptic number.

1401013040 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 1401013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867526304).

1401013040 is an abundant number, since it is smaller than the sum of its proper divisors (2334039568).

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

1401013040 is a wasteful number, since it uses less digits than its factorization.

1401013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1401013040 is about 37430.1087361498. The cubic root of 1401013040 is about 1118.9587047979.

Adding to 1401013040 its reverse (403101041), we get a palindrome (1804114081).

The spelling of 1401013040 in words is "one billion, four hundred one million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 313 560 626 1252 1565 2191 2504 3130 4382 5008 6260 7993 8764 10955 12520 15986 17528 21910 25040 31972 35056 39965 43820 55951 63944 79930 87640 111902 127888 159860 175280 223804 279755 319720 447608 559510 639440 895216 1119020 2238040 2501809 4476080 5003618 10007236 12509045 17512663 20014472 25018090 35025326 40028944 50036180 70050652 87563315 100072360 140101304 175126630 200144720 280202608 350253260 700506520 1401013040