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314614026552 = 23375953995879
BaseRepresentation
bin1001001010000000111…
…01010001000100111000
31010002001222210111101210
410211000131101010320
520123312142322202
6400310502243120
731505300046630
oct4450035210470
91102058714353
10314614026552
111114774637a1
1250b837264a0
132388b7078b7
1411327db36c0
1582b5680c6c
hex4940751138

314614026552 has 128 divisors (see below), whose sum is σ = 914457600000. Its totient is φ = 88334772096.

The previous prime is 314614026547. The next prime is 314614026553. The reversal of 314614026552 is 255620416413.

It is a super-2 number, since 2×3146140265522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314614026552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314614026553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53511949 + ... + 53517827.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200000).

Almost surely, 2314614026552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314614026552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800000).

314614026552 is an abundant number, since it is smaller than the sum of its proper divisors (599843573448).

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

314614026552 is a wasteful number, since it uses less digits than its factorization.

314614026552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11353 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 314614026552 in words is "three hundred fourteen billion, six hundred fourteen million, twenty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 5399 5879 9912 10798 11758 16197 17637 21596 23516 32394 35274 37793 41153 43192 47032 64788 70548 75586 82306 113379 123459 129576 141096 151172 164612 226758 246918 302344 318541 329224 346861 453516 493836 637082 693722 907032 955623 987672 1040583 1274164 1387444 1911246 2081166 2229787 2428027 2548328 2774888 3822492 4162332 4459574 4856054 6689361 7284081 7644984 8324664 8919148 9712108 13378722 14568162 17838296 19424216 26757444 29136324 31740721 53514888 58272648 63481442 95222163 126962884 190444326 222185047 253925768 380888652 444370094 666555141 761777304 888740188 1333110282 1777480376 1872702539 2666220564 3745405078 5332441128 5618107617 7490810156 11236215234 13108917773 14981620312 22472430468 26217835546 39326753319 44944860936 52435671092 78653506638 104871342184 157307013276 314614026552