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1343792301048 = 233417976912487
BaseRepresentation
bin10011100011100000010…
…000110100001111111000
311202110120012021211210000
4103203200100310033320
5134004041312113143
62505155112353000
7166041266044431
oct23434020641770
94673505254700
101343792301048
114789987a312a
121985293a5760
1399946a49a02
144907b682488
1524e4d806bd3
hex138e04343f8

1343792301048 has 160 divisors (see below), whose sum is σ = 3985993519200. Its totient is φ = 421504985088.

The previous prime is 1343792300993. The next prime is 1343792301053. The reversal of 1343792301048 is 8401032973431.

1343792301048 is a `hidden beast` number, since 1 + 3 + 4 + 379 + 230 + 1 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1343792300994 and 1343792301012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107609061 + ... + 107621547.

It is an arithmetic number, because the mean of its divisors is an integer number (24912459495).

Almost surely, 21343792301048 is an apocalyptic number.

1343792301048 is a gapful number since it is divisible by the number (18) 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 1343792301048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992996759600).

1343792301048 is an abundant number, since it is smaller than the sum of its proper divisors (2642201218152).

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

1343792301048 is a wasteful number, since it uses less digits than its factorization.

1343792301048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22291 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1343792301048 in words is "one trillion, three hundred forty-three billion, seven hundred ninety-two million, three hundred one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 9769 11016 12487 19538 24974 29307 37461 39076 49948 58614 74922 78152 87921 99896 112383 117228 149844 166073 175842 212279 224766 234456 263763 299688 332146 337149 351684 424558 449532 498219 527526 636837 664292 674298 703368 791289 849116 899064 996438 1011447 1055052 1273674 1328584 1348596 1494657 1582578 1698232 1910511 1992876 2022894 2110104 2547348 2697192 2989314 3165156 3821022 3985752 4045788 4483971 5094696 5731533 5978628 6330312 7642044 8091576 8967942 11463066 11957256 13451913 15284088 17194599 17935884 22926132 26903826 34389198 35871768 45852264 53807652 68778396 107615304 121985503 137556792 243971006 365956509 487942012 731913018 975884024 1097869527 1463826036 2073753551 2195739054 2927652072 3293608581 4147507102 4391478108 6221260653 6587217162 8295014204 8782956216 9880825743 12442521306 13174434324 16590028408 18663781959 19761651486 24885042612 26348868648 37327563918 39523302972 49770085224 55991345877 74655127836 79046605944 111982691754 149310255672 167974037631 223965383508 335948075262 447930767016 671896150524 1343792301048