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2314214040 = 233556933893
BaseRepresentation
bin1000100111110000…
…0001101010011000
312222021121020212010
42021330001222120
514214414322130
61021345345520
7111230331465
oct21174015230
95867536763
102314214040
11a8834a296
125470382a0
132ab5b0b28
1417d4cc66c
15d827d0b0
hex89f01a98

2314214040 has 64 divisors (see below), whose sum is σ = 6955048800. Its totient is φ = 616020992.

The previous prime is 2314214027. The next prime is 2314214057. The reversal of 2314214040 is 404124132.

It is a junction number, because it is equal to n+sod(n) for n = 2314213998 and 2314214016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51334 + ... + 85226.

Almost surely, 22314214040 is an apocalyptic number.

2314214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314214040 is an abundant number, since it is smaller than the sum of its proper divisors (4640834760).

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

2314214040 is a wasteful number, since it uses less digits than its factorization.

2314214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34476 (or 34472 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2314214040 is about 48106.2785923002. The cubic root of 2314214040 is about 1322.7197596029.

Adding to 2314214040 its reverse (404124132), we get a palindrome (2718338172).

The spelling of 2314214040 in words is "two billion, three hundred fourteen million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 569 1138 1707 2276 2845 3414 4552 5690 6828 8535 11380 13656 17070 22760 33893 34140 67786 68280 101679 135572 169465 203358 271144 338930 406716 508395 677860 813432 1016790 1355720 2033580 4067160 19285117 38570234 57855351 77140468 96425585 115710702 154280936 192851170 231421404 289276755 385702340 462842808 578553510 771404680 1157107020 2314214040