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314000411274 = 233113797147289
BaseRepresentation
bin1001001000110111110…
…00100000101010001010
31010000111020011121111000
410210123320200222022
520121033101130044
6400125542315430
731454136313044
oct4443370405212
91100436147430
10314000411274
11111192056530
1250a32128b76
13237c1552a34
14112aa6c4a94
15827b873d69
hex491be20a8a

314000411274 has 128 divisors (see below), whose sum is σ = 789851462400. Its totient is φ = 91624919040.

The previous prime is 314000411269. The next prime is 314000411317. The reversal of 314000411274 is 472114000413.

It is a super-2 number, since 2×3140004112742 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2058222 + ... + 2205510.

It is an arithmetic number, because the mean of its divisors is an integer number (6170714550).

Almost surely, 2314000411274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314000411274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394925731200).

314000411274 is an abundant number, since it is smaller than the sum of its proper divisors (475851051126).

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

314000411274 is a wasteful number, since it uses less digits than its factorization.

314000411274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147445 (or 147439 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 314000411274 its reverse (472114000413), we get a palindrome (786114411687).

The spelling of 314000411274 in words is "three hundred fourteen billion, four hundred eleven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 97 99 111 194 198 222 291 297 333 407 582 594 666 814 873 999 1067 1221 1746 1998 2134 2442 2619 3201 3589 3663 5238 6402 7178 7326 9603 10767 10989 19206 21534 21978 28809 32301 39479 57618 64602 78958 96903 118437 147289 193806 236874 294578 355311 441867 710622 883734 1065933 1325601 1620179 2131866 2651202 3240358 3976803 4860537 5449693 7953606 9721074 10899386 14287033 14581611 16349079 28574066 29163222 32698158 42861099 43744833 49047237 59946623 85722198 87489666 98094474 119893246 128583297 147141711 157157363 179839869 257166594 294283422 314314726 359679738 385749891 471472089 528620221 539519607 771499782 942944178 1057240442 1079039214 1414416267 1585860663 1618558821 2828832534 3171721326 3237117642 4243248801 4757581989 5814822431 8486497602 9515163978 11629644862 14272745967 17444467293 28545491934 34888934586 52333401879 104666803758 157000205637 314000411274