Search a number
-
+
134401255463640 = 23351119101389136397
BaseRepresentation
bin11110100011110010111011…
…000101101101101011011000
3122121212122010120122112001010
4132203302323011231223120
5120104012232344314030
61153503030121053520
740211112254655504
oct3643627305555330
9577778116575033
10134401255463640
113990828596a650
12130a7a446272a0
1359cbca3b32639
1425290ac30b304
1510811422916b0
hex7a3cbb16dad8

134401255463640 has 512 divisors, whose sum is σ = 468798834816000. Its totient is φ = 30482869248000.

The previous prime is 134401255463633. The next prime is 134401255463653. The reversal of 134401255463640 is 46364552104431.

It is a self number, because there is not a number n which added to its sum of digits gives 134401255463640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 985299922 + ... + 985436318.

It is an arithmetic number, because the mean of its divisors is an integer number (915622724250).

Almost surely, 2134401255463640 is an apocalyptic number.

134401255463640 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 134401255463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234399417408000).

134401255463640 is an abundant number, since it is smaller than the sum of its proper divisors (334397579352360).

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

134401255463640 is a wasteful number, since it uses less digits than its factorization.

134401255463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136931 (or 136927 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 134401255463640 in words is "one hundred thirty-four trillion, four hundred one billion, two hundred fifty-five million, four hundred sixty-three thousand, six hundred forty".