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314402130020 = 2251114083101477
BaseRepresentation
bin1001001001100111101…
…00111100100001100100
31010001112020002001000002
410210303310330201210
520122343421130040
6400233452440432
731500115003526
oct4446364744144
91101466061002
10314402130020
111113788957a0
1250b24779118
1323856846734
1411307bb5a16
1582a1c76a15
hex4933d3c864

314402130020 has 48 divisors (see below), whose sum is σ = 720324940608. Its totient is φ = 114318802560.

The previous prime is 314402130017. The next prime is 314402130023. The reversal of 314402130020 is 20031204413.

It is an interprime number because it is at equal distance from previous prime (314402130017) and next prime (314402130023).

It is a super-2 number, since 2×3144021300202 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 314402129974 and 314402130001.

It is not an unprimeable number, because it can be changed into a prime (314402130023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3047522 + ... + 3148998.

It is an arithmetic number, because the mean of its divisors is an integer number (15006769596).

Almost surely, 2314402130020 is an apocalyptic number.

It is an amenable number.

314402130020 is an abundant number, since it is smaller than the sum of its proper divisors (405922810588).

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

314402130020 is a wasteful number, since it uses less digits than its factorization.

314402130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115580 (or 115578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 314402130020 its reverse (20031204413), we get a palindrome (334433334433).

The spelling of 314402130020 in words is "three hundred fourteen billion, four hundred two million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 14083 28166 56332 70415 101477 140830 154913 202954 281660 309826 405908 507385 619652 774565 1014770 1116247 1549130 2029540 2232494 3098260 4464988 5581235 11162470 22324940 1429100591 2858201182 5716402364 7145502955 14291005910 15720106501 28582011820 31440213002 62880426004 78600532505 157201065010 314402130020