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1214314441340 = 2257112135514097
BaseRepresentation
bin10001101010111010110…
…001111110101001111100
311022002100122212001222112
4101222322301332221330
5124343403444110330
62325503124433152
7153505562306120
oct21527261765174
94262318761875
101214314441340
11428a95932800
121774135487b8
138a6810ac940
1442ab7693580
15218c1731795
hex11abac7ea7c

1214314441340 has 144 divisors (see below), whose sum is σ = 3449796159936. Its totient is φ = 349373122560.

The previous prime is 1214314441339. The next prime is 1214314441363. The reversal of 1214314441340 is 431444134121.

It is a junction number, because it is equal to n+sod(n) for n = 1214314441297 and 1214314441306.

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, 2536829 + ... + 2977268.

Almost surely, 21214314441340 is an apocalyptic number.

1214314441340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214314441340 is an abundant number, since it is smaller than the sum of its proper divisors (2235481718596).

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

1214314441340 is a wasteful number, since it uses less digits than its factorization.

1214314441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514148 (or 5514135 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1214314441340 its reverse (431444134121), we get a palindrome (1645758575461).

The spelling of 1214314441340 in words is "one trillion, two hundred fourteen billion, three hundred fourteen million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 5514097 11028194 22056388 27570485 38598679 55140970 60655067 71683261 77197358 110281940 121310134 143366522 154394716 192993395 242620268 286733044 303275335 358416305 385986790 424585469 501782827 606550670 667205737 716832610 771973580 788515871 849170938 1003565654 1213101340 1334411474 1433665220 1577031742 1698341876 2007131308 2122927345 2508914135 2668822948 3154063484 3336028685 3942579355 4245854690 4670440159 5017828270 5519611097 6672057370 7885158710 8491709380 8673674581 9340880318 10035656540 11039222194 13344114740 15770317420 17347349162 18681760636 22078444388 23352200795 27598055485 34694698324 43368372905 46704401590 55196110970 60715722067 86736745810 93408803180 110392221940 121431444134 173473491620 242862888268 303578610335 607157220670 1214314441340