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3314214044032 = 27172373907133
BaseRepresentation
bin110000001110100110100…
…011010000000110000000
3102201211120021102112222111
4300032212203100012000
5413300002243402112
611014310124545104
7461305212364153
oct60164643200600
912654507375874
103314214044032
111068606476701
124563976b2194
131b06b5401148
14b65a1b0bc9a
155b324c165a7
hex303a68d0180

3314214044032 has 128 divisors (see below), whose sum is σ = 7394811226560. Its totient is φ = 1471382618112.

The previous prime is 3314214044023. The next prime is 3314214044087. The reversal of 3314214044032 is 2304404124133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3314214043985 and 3314214044003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3199938 + ... + 4107070.

Almost surely, 23314214044032 is an apocalyptic number.

3314214044032 is a gapful number since it is divisible by the number (32) 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 3314214044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697405613280).

3314214044032 is an abundant number, since it is smaller than the sum of its proper divisors (4080597182528).

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

3314214044032 is a wasteful number, since it uses less digits than its factorization.

3314214044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907260 (or 907248 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 3314214044032 its reverse (2304404124133), we get a palindrome (5618618168165).

The spelling of 3314214044032 in words is "three trillion, three hundred fourteen billion, two hundred fourteen million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 73 92 128 136 146 184 272 292 368 391 544 584 736 782 1088 1168 1241 1472 1564 1679 2176 2336 2482 2944 3128 3358 4672 4964 6256 6716 9344 9928 12512 13432 19856 25024 26864 28543 39712 50048 53728 57086 79424 107456 114172 158848 214912 228344 456688 907133 913376 1814266 1826752 3628532 3653504 7257064 14514128 15421261 20864059 29028256 30842522 41728118 58056512 61685044 66220709 83456236 116113024 123370088 132441418 166912472 246740176 264882836 333824944 354689003 493480352 529765672 667649888 709378006 986960704 1059531344 1125752053 1335299776 1418756012 1523076307 1973921408 2119062688 2251504106 2670599552 2837512024 3046152614 4238125376 4503008212 5675024048 6092305228 8476250752 9006016424 11350048096 12184610456 18012032848 22700096192 24369220912 25892297219 36024065696 45400192384 48738441824 51784594438 72048131392 97476883648 103569188876 144096262784 194953767296 207138377752 414276755504 828553511008 1657107022016 3314214044032