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1348231513360 = 245172947727327
BaseRepresentation
bin10011100111101000110…
…111000100010100010000
311202220000120110012020211
4103213220313010110100
5134042134231411420
62511211412213504
7166256301530404
oct23475067042420
94686016405224
101348231513360
1147a8665a5036
1219936800a294
139a1a365bb64
144937d087104
152510d3d8e5a
hex139e8dc4510

1348231513360 has 160 divisors (see below), whose sum is σ = 3506535567360. Its totient is φ = 479639494656.

The previous prime is 1348231513357. The next prime is 1348231513361. The reversal of 1348231513360 is 633151328431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1348231513361) 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, 1490017 + ... + 2217343.

It is an arithmetic number, because the mean of its divisors is an integer number (21915847296).

Almost surely, 21348231513360 is an apocalyptic number.

1348231513360 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 1348231513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753267783680).

1348231513360 is an abundant number, since it is smaller than the sum of its proper divisors (2158304054000).

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

1348231513360 is a wasteful number, since it uses less digits than its factorization.

1348231513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727433 (or 727427 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 1348231513360 in words is "one trillion, three hundred forty-eight billion, two hundred thirty-one million, five hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 47 58 68 80 85 94 116 136 145 170 188 232 235 272 290 340 376 464 470 493 580 680 752 799 940 986 1160 1360 1363 1598 1880 1972 2320 2465 2726 3196 3760 3944 3995 4930 5452 6392 6815 7888 7990 9860 10904 12784 13630 15980 19720 21808 23171 27260 31960 39440 46342 54520 63920 92684 109040 115855 185368 231710 370736 463420 727327 926840 1454654 1853680 2909308 3636635 5818616 7273270 11637232 12364559 14546540 21092483 24729118 29093080 34184369 42184966 49458236 58186160 61822795 68368738 84369932 98916472 105462415 123645590 136737476 168739864 170921845 197832944 210924830 247291180 273474952 337479728 341843690 358572211 421849660 494582360 546949904 581134273 683687380 717144422 843699320 989164720 991346701 1162268546 1367374760 1434288844 1687398640 1792861055 1982693402 2324537092 2734749520 2868577688 2905671365 3585722110 3965386804 4649074184 4956733505 5737155376 5811342730 7171444220 7930773608 9298148368 9913467010 11622685460 14342888440 15861547216 16852893917 19826934020 23245370920 28685776880 33705787834 39653868040 46490741840 67411575668 79307736080 84264469585 134823151336 168528939170 269646302672 337057878340 674115756680 1348231513360