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1342814378660 = 225315940989753
BaseRepresentation
bin10011100010100101111…
…110010101101010100100
311202101001001011020110022
4103202211332111222210
5134000040440104120
62504514100214312
7166005122614646
oct23424576255244
94671031136408
101342814378660
11478536789607
121982b599a398
139981c26c801
1448dc7840896
1524de2a37025
hex138a5f95aa4

1342814378660 has 96 divisors (see below), whose sum is σ = 2967482649600. Its totient is φ = 509733918720.

The previous prime is 1342814378597. The next prime is 1342814378663. The reversal of 1342814378660 is 668734182431.

It is a super-3 number, since 3×13428143786603 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1342814378663) 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, 14916344 + ... + 15006096.

It is an arithmetic number, because the mean of its divisors is an integer number (30911277600).

Almost surely, 21342814378660 is an apocalyptic number.

1342814378660 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 1342814378660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483741324800).

1342814378660 is an abundant number, since it is smaller than the sum of its proper divisors (1624668270940).

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

1342814378660 is a wasteful number, since it uses less digits than its factorization.

1342814378660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90261 (or 90259 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 1342814378660 in words is "one trillion, three hundred forty-two billion, eight hundred fourteen million, three hundred seventy-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 409 590 620 818 1180 1636 1829 2045 3658 4090 7316 8180 9145 12679 18290 24131 25358 36580 48262 50716 63395 89753 96524 120655 126790 179506 241310 253580 359012 448765 482620 748061 897530 1496122 1795060 2782343 2992244 3740305 5295427 5564686 7480610 10590854 11129372 13911715 14961220 21181708 26477135 27823430 36708977 52954270 55646860 73417954 105908540 146835908 164158237 183544885 328316474 367089770 656632948 734179540 820791185 1137978287 1641582370 2165829643 2275956574 3283164740 4331659286 4551913148 5689891435 8663318572 10829148215 11379782870 21658296430 22759565740 43316592860 67140718933 134281437866 268562875732 335703594665 671407189330 1342814378660