Search a number
-
+
1395349197360 = 243519852135911
BaseRepresentation
bin10100010011100001010…
…010110001001000110000
311221101122021200112122020
4110103201102301020300
5140330133343303420
62545003051511440
7202545024324456
oct24234122611060
94841567615566
101395349197360
11498845277448
121a6517758580
13a1772210051
144b76ca869d6
1526469bd4340
hex144e14b1230

1395349197360 has 160 divisors (see below), whose sum is σ = 4553905912320. Its totient is φ = 352458086400.

The previous prime is 1395349197337. The next prime is 1395349197371. The reversal of 1395349197360 is 637919435931.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1395349197294 and 1395349197303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38837805 + ... + 38873715.

It is an arithmetic number, because the mean of its divisors is an integer number (28461911952).

Almost surely, 21395349197360 is an apocalyptic number.

1395349197360 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 1395349197360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276952956160).

1395349197360 is an abundant number, since it is smaller than the sum of its proper divisors (3158556714960).

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

1395349197360 is a wasteful number, since it uses less digits than its factorization.

1395349197360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44467 (or 44461 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 60.

The spelling of 1395349197360 in words is "one trillion, three hundred ninety-five billion, three hundred forty-nine million, one hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 8521 17042 25563 34084 35911 42605 51126 68168 71822 85210 102252 107733 127815 136336 143644 161899 170420 179555 204504 215466 255630 287288 323798 340840 359110 409008 430932 485697 511260 538665 574576 647596 681680 682309 718220 809495 861864 971394 1022520 1077330 1295192 1364618 1436440 1618990 1723728 1942788 2045040 2046927 2154660 2428485 2590384 2729236 2872880 3237980 3411545 3885576 4093854 4309320 4856970 5458472 6475960 6823090 7771152 8187708 8618640 9713940 10234635 10916944 12951920 13646180 16375416 19427880 20469270 27292360 32750832 38855760 40938540 54584720 81877080 163754160 305997631 611995262 917992893 1223990524 1529988155 1835985786 2447981048 3059976310 3671971572 4589964465 4895962096 5813954989 6119952620 7343943144 9179928930 11627909978 12239905240 14687886288 17441864967 18359857860 23255819956 24479810480 29069774945 34883729934 36719715720 46511639912 58139549890 69767459868 73439431440 87209324835 93023279824 116279099780 139534919736 174418649670 232558199560 279069839472 348837299340 465116399120 697674598680 1395349197360