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1402144020 = 22365175657
BaseRepresentation
bin101001110010011…
…0000010100010100
310121201101022000000
41103210300110110
510332422102040
6351044451300
746514012304
oct12344602424
93551338000
101402144020
1165a523612
123316a9b30
1319464c624
14d430d604
158316a130
hex53930514

1402144020 has 168 divisors, whose sum is σ = 4675250664. Its totient is φ = 351848448.

The previous prime is 1402144019. The next prime is 1402144031. The reversal of 1402144020 is 204412041.

It can be written as a sum of positive squares in 4 ways, for example, as 77475204 + 1324668816 = 8802^2 + 36396^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1402143984 and 1402144002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 245032 + ... + 250688.

It is an arithmetic number, because the mean of its divisors is an integer number (27828873).

Almost surely, 21402144020 is an apocalyptic number.

1402144020 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 1402144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337625332).

1402144020 is an abundant number, since it is smaller than the sum of its proper divisors (3273106644).

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

1402144020 is a wasteful number, since it uses less digits than its factorization.

1402144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1402144020 is about 37445.2135793081. The cubic root of 1402144020 is about 1119.2597202057.

Adding to 1402144020 its reverse (204412041), we get a palindrome (1606556061).

The spelling of 1402144020 in words is "one billion, four hundred two million, one hundred forty-four thousand, twenty".