Search a number
-
+
340268941393920 = 21436572112312
BaseRepresentation
bin100110101011110010000100…
…1011000010100000000000000
31122121210101121120112222000000
41031113210021120110000000
5324044431242444101140
63203405221012000000
7131446422400626300
oct11527441130240000
91577711546488000
10340268941393920
119946927a695400
12321b6498000000
13117b32ba019556
1460051671a3600
152951299204a30
hex1357909614000

340268941393920 has 5670 divisors, whose sum is σ = 1617647305246938. Its totient is φ = 68424420556800.

The previous prime is 340268941393883. The next prime is 340268941393967. The reversal of 340268941393920 is 29393149862043.

340268941393920 is a `hidden beast` number, since 3 + 4 + 0 + 26 + 8 + 94 + 139 + 392 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272215153115136 + 68053788278784 = 16498944^2 + 8249472^2 .

It is a tau number, because it is divible by the number of its divisors (5670).

It is a super-2 number, since 2×3402689413939202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 10976417464305 + ... + 10976417464335.

Almost surely, 2340268941393920 is an apocalyptic number.

340268941393920 is a gapful number since it is divisible by the number (30) 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 340268941393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808823652623469).

340268941393920 is an abundant number, since it is smaller than the sum of its proper divisors (1277378363853018).

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

340268941393920 is an frugal number, since it uses more digits than its factorization.

340268941393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 340268941393920 in words is "three hundred forty trillion, two hundred sixty-eight billion, nine hundred forty-one million, three hundred ninety-three thousand, nine hundred twenty".