Search a number
-
+
1356403425320 = 235731093424997
BaseRepresentation
bin10011101111001111111…
…100011100000000101000
311210200010002100100000202
4103233033330130000220
5134210403234102240
62515042332451332
7166665640611536
oct23571774340050
94720102310022
101356403425320
1148327a410489
1219aa68919b48
139aba66a3618
1449916501156
152543aa41315
hex13bcff1c028

1356403425320 has 64 divisors (see below), whose sum is σ = 3096552427920. Its totient is φ = 534638168064.

The previous prime is 1356403425319. The next prime is 1356403425323. The reversal of 1356403425320 is 235243046531.

It can be written as a sum of positive squares in 8 ways, for example, as 712535197924 + 643868227396 = 844118^2 + 802414^2 .

It is not an unprimeable number, because it can be changed into a prime (1356403425323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979062 + ... + 3404058.

Almost surely, 21356403425320 is an apocalyptic number.

1356403425320 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 1356403425320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548276213960).

1356403425320 is an abundant number, since it is smaller than the sum of its proper divisors (1740149002600).

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

1356403425320 is a wasteful number, since it uses less digits than its factorization.

1356403425320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426174 (or 426170 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 1356403425320 in words is "one trillion, three hundred fifty-six billion, four hundred three million, four hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1093 1460 2186 2920 4372 5465 8744 10930 21860 43720 79789 159578 319156 398945 424997 638312 797890 849994 1595780 1699988 2124985 3191560 3399976 4249970 8499940 16999880 31024781 62049562 124099124 155123905 248198248 310247810 464521721 620495620 929043442 1240991240 1858086884 2322608605 3716173768 4645217210 9290434420 18580868840 33910085633 67820171266 135640342532 169550428165 271280685064 339100856330 678201712660 1356403425320