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1343136342024 = 23321011097916823
BaseRepresentation
bin10011100010111001001…
…010100010000000001000
311202101212110222200011100
4103202321022202000020
5134001220400421044
62505010041101400
7166016112351441
oct23427112420010
94671773880140
101343136342024
114786914a4434
12198385787860
1399870b8a589
14490184d02c8
1524e10e33869
hex138b92a2008

1343136342024 has 96 divisors (see below), whose sum is σ = 3674230372800. Its totient is φ = 443212598400.

The previous prime is 1343136342019. The next prime is 1343136342101. The reversal of 1343136342024 is 4202436313431.

It is a happy number.

1343136342024 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 13 + 634 + 2 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×13431363420242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1343136342024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79830877 + ... + 79847699.

It is an arithmetic number, because the mean of its divisors is an integer number (38273233050).

Almost surely, 21343136342024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343136342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837115186400).

1343136342024 is an abundant number, since it is smaller than the sum of its proper divisors (2331094030776).

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

1343136342024 is a wasteful number, since it uses less digits than its factorization.

1343136342024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27915 (or 27908 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 1343136342024 in words is "one trillion, three hundred forty-three billion, one hundred thirty-six million, three hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 10979 16823 21958 32937 33646 43916 50469 65874 67292 87832 98811 100938 131748 134584 151407 197622 201876 263496 302814 395244 403752 605628 790488 1108879 1211256 1699123 2217758 3326637 3398246 4435516 5097369 6653274 6796492 8871032 9979911 10194738 13306548 13592984 15292107 19959822 20389476 26613096 30584214 39919644 40778952 61168428 79839288 122336856 184699717 369399434 554099151 738798868 1108198302 1477597736 1662297453 2216396604 3324594906 4432793208 6649189812 13298379624 18654671417 37309342834 55964014251 74618685668 111928028502 149237371336 167892042753 223856057004 335784085506 447712114008 671568171012 1343136342024