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1400431014 = 232314121493
BaseRepresentation
bin101001101111000…
…1110000110100110
310121121011021012100
41103132032012212
510332002243024
6350544032530
746463316153
oct12336160646
93547137170
101400431014
11659563604
12331002746
1319419ca08
14d3dc522a
1582e2c7c9
hex5378e1a6

1400431014 has 72 divisors (see below), whose sum is σ = 3212554176. Its totient is φ = 440438400.

The previous prime is 1400430991. The next prime is 1400431037. The reversal of 1400431014 is 4101340041.

It is an interprime number because it is at equal distance from previous prime (1400430991) and next prime (1400431037).

It is a super-2 number, since 2×14004310142 = 3922414049946136392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 937252 + ... + 938744.

It is an arithmetic number, because the mean of its divisors is an integer number (44618808).

Almost surely, 21400431014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400431014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606277088).

1400431014 is an abundant number, since it is smaller than the sum of its proper divisors (1812123162).

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

1400431014 is a wasteful number, since it uses less digits than its factorization.

1400431014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1400431014 is about 37422.3330913507. Note that the first 3 decimals coincide. The cubic root of 1400431014 is about 1118.8037328249.

Adding to 1400431014 its reverse (4101340041), we get a palindrome (5501771055).

The spelling of 1400431014 in words is "one billion, four hundred million, four hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 1271 1493 1681 2542 2986 3362 3813 4479 5043 7626 8958 10086 11439 13437 15129 22878 26874 30258 46283 52111 61213 92566 104222 122426 138849 156333 183639 277698 312666 367278 416547 468999 550917 833094 937998 1101834 1897603 2509733 3795206 5019466 5692809 7529199 11385618 15058398 17078427 22587597 34156854 45175194 77801723 155603446 233405169 466810338 700215507 1400431014