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314650153345660 = 225112467365976091
BaseRepresentation
bin100011110001011000011001…
…0100111100110001001111100
31112021002021001012002112102121
41013202300302213212021330
5312220212003224030120
63033112141313532324
7123163503060324256
oct10742606247461174
91467067035075377
10314650153345660
1191291420718600
122b3593838740a4
13106754c7756952
14579b211d94cd6
152659b8c6605aa
hex11e2c329e627c

314650153345660 has 144 divisors (see below), whose sum is σ = 728059493266560. Its totient is φ = 114140527177600.

The previous prime is 314650153345657. The next prime is 314650153345727. The reversal of 314650153345660 is 66543351056413.

It is a junction number, because it is equal to n+sod(n) for n = 314650153345598 and 314650153345607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135144215 + ... + 4135220305.

It is an arithmetic number, because the mean of its divisors is an integer number (5055968703240).

Almost surely, 2314650153345660 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 314650153345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364029746633280).

314650153345660 is an abundant number, since it is smaller than the sum of its proper divisors (413409339920900).

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

314650153345660 is a wasteful number, since it uses less digits than its factorization.

314650153345660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80248 (or 80235 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 52.

The spelling of 314650153345660 in words is "three hundred fourteen trillion, six hundred fifty billion, one hundred fifty-three million, three hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 467 484 605 934 1210 1868 2335 2420 3659 4670 5137 7318 9340 10274 14636 18295 20548 25685 36590 40249 51370 56507 73180 76091 80498 102740 113014 152182 160996 201245 226028 282535 304364 380455 402490 442739 565070 760910 804980 837001 885478 1130140 1521820 1674002 1708753 1770956 2213695 3348004 3417506 4185005 4427390 6835012 8370010 8543765 8854780 9207011 16740020 17087530 18414022 18796283 34175060 35534497 36828044 37592566 46035055 71068994 75185132 92070110 93981415 142137988 177672485 184140220 187962830 206759113 278416969 355344970 375925660 390879467 413518226 556833938 710689940 781758934 827036452 1033795565 1113667876 1392084845 1563517868 1954397335 2067591130 2784169690 3062586659 3908794670 4135182260 4299674137 5568339380 6125173318 7817589340 8599348274 12250346636 15312933295 17198696548 21498370685 30625866590 33688453249 42996741370 61251733180 67376906498 85993482740 130020724523 134753812996 168442266245 260041449046 336884532490 520082898092 650103622615 673769064980 1300207245230 1430227969753 2600414490460 2860455939506 5720911879012 7151139848765 14302279697530 15732507667283 28604559395060 31465015334566 62930030669132 78662538336415 157325076672830 314650153345660