Search a number
-
+
1343005431000 = 233532381188017
BaseRepresentation
bin10011100010110001010…
…111001001010011011000
311202101112100122200222220
4103202301113021103120
5134000433342243000
62504545043144040
7166012632544602
oct23426127112330
94671470580886
101343005431000
11478624610002
12198349975020
139984ca1322c
1449004d74172
1524e046c51a0
hex138b15c94d8

1343005431000 has 128 divisors (see below), whose sum is σ = 4191959079360. Its totient is φ = 357982464000.

The previous prime is 1343005430969. The next prime is 1343005431037. The reversal of 1343005431000 is 1345003431.

It is a happy number.

It is a super-2 number, since 2×13430054310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7048992 + ... + 7237008.

Almost surely, 21343005431000 is an apocalyptic number.

1343005431000 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 1343005431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095979539680).

1343005431000 is an abundant number, since it is smaller than the sum of its proper divisors (2848953648360).

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

1343005431000 is a wasteful number, since it uses less digits than its factorization.

1343005431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190422 (or 190408 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 1343005431000 in words is "one trillion, three hundred forty-three billion, five million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2381 3000 4762 7143 9524 11905 14286 19048 23810 28572 35715 47620 57144 59525 71430 95240 119050 142860 178575 188017 238100 285720 297625 357150 376034 476200 564051 595250 714300 752068 892875 940085 1128102 1190500 1428600 1504136 1785750 1880170 2256204 2381000 2820255 3571500 3760340 4512408 4700425 5640510 7143000 7520680 9400850 11281020 14101275 18801700 22562040 23502125 28202550 37603400 47004250 56405100 70506375 94008500 112810200 141012750 188017000 282025500 447668477 564051000 895336954 1343005431 1790673908 2238342385 2686010862 3581347816 4476684770 5372021724 6715027155 8953369540 10744043448 11191711925 13430054310 17906739080 22383423850 26860108620 33575135775 44766847700 53720217240 55958559625 67150271550 89533695400 111917119250 134300543100 167875678875 223834238500 268601086200 335751357750 447668477000 671502715500 1343005431000