Search a number
-
+
1314060644040 = 233523509935381
BaseRepresentation
bin10011000111110100000…
…111100010111011001000
311122121211010221011210020
4103013310013202323020
5133012144011102130
62443400544020440
7163636435115604
oct23076407427310
94577733834706
101314060644040
11467320a81171
12192810301720
1396bb914a461
144785ab2a504
15242ad536e10
hex131f41e2ec8

1314060644040 has 128 divisors (see below), whose sum is σ = 4121667244800. Its totient is φ = 334521820160.

The previous prime is 1314060644033. The next prime is 1314060644047. The reversal of 1314060644040 is 404460604131.

It is an interprime number because it is at equal distance from previous prime (1314060644033) and next prime (1314060644047).

It is a junction number, because it is equal to n+sod(n) for n = 1314060643992 and 1314060644010.

It is not an unprimeable number, because it can be changed into a prime (1314060644047) 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, 937150 + ... + 1872530.

It is an arithmetic number, because the mean of its divisors is an integer number (32200525350).

Almost surely, 21314060644040 is an apocalyptic number.

1314060644040 is a gapful number since it is divisible by the number (10) 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 1314060644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060833622400).

1314060644040 is an abundant number, since it is smaller than the sum of its proper divisors (2807606600760).

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

1314060644040 is a wasteful number, since it uses less digits than its factorization.

1314060644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935927 (or 935923 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 1314060644040 in words is "one trillion, three hundred fourteen billion, sixty million, six hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 509 552 690 920 1018 1380 1527 2036 2545 2760 3054 4072 5090 6108 7635 10180 11707 12216 15270 20360 23414 30540 35121 46828 58535 61080 70242 93656 117070 140484 175605 234140 280968 351210 468280 702420 935381 1404840 1870762 2806143 3741524 4676905 5612286 7483048 9353810 11224572 14030715 18707620 21513763 22449144 28061430 37415240 43027526 56122860 64541289 86055052 107568815 112245720 129082578 172110104 215137630 258165156 322706445 430275260 476108929 516330312 645412890 860550520 952217858 1290825780 1428326787 1904435716 2380544645 2581651560 2856653574 3808871432 4761089290 5713307148 7141633935 9522178580 10950505367 11426614296 14283267870 19044357160 21901010734 28566535740 32851516101 43802021468 54752526835 57133071480 65703032202 87604042936 109505053670 131406064404 164257580505 219010107340 262812128808 328515161010 438020214680 657030322020 1314060644040