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314404140032 = 2101392208887
BaseRepresentation
bin1001001001100111111…
…00100111010000000000
31010001112100212011012222
410210303330213100000
520122344424440112
6400234003510212
731500141044603
oct4446374472000
91101470764188
10314404140032
11111379a38964
1250b25388368
132385709b5a8
141130817a33a
1582a2022372
hex4933f27400

314404140032 has 44 divisors (see below), whose sum is σ = 633023123040. Its totient is φ = 156071049216.

The previous prime is 314404139963. The next prime is 314404140107. The reversal of 314404140032 is 230041404413.

It is a super-2 number, since 2×3144041400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314404139983 and 314404140010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 962108 + ... + 1246779.

It is an arithmetic number, because the mean of its divisors is an integer number (14386889160).

Almost surely, 2314404140032 is an apocalyptic number.

314404140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314404140032 is an abundant number, since it is smaller than the sum of its proper divisors (318618983008).

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

314404140032 is a wasteful number, since it uses less digits than its factorization.

314404140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209046 (or 2209028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 314404140032 its reverse (230041404413), we get a palindrome (544445544445).

The spelling of 314404140032 in words is "three hundred fourteen billion, four hundred four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2224 4448 8896 17792 35584 71168 142336 2208887 4417774 8835548 17671096 35342192 70684384 141368768 282737536 307035293 565475072 614070586 1130950144 1228141172 2261900288 2456282344 4912564688 9825129376 19650258752 39300517504 78601035008 157202070016 314404140032