Search a number
-
+
114425852943360 = 21035721731436709
BaseRepresentation
bin11010000001000111011000…
…010100010101110000000000
3120000011000010102200110011210
4122001013120110111300000
5104444223121323141420
61043210302224210120
733046665210025500
oct3201073024256000
9500130112613153
10114425852943360
1133506805a02152
1210a005b6769940
134bb040887063a
142038352bb7a00
15d3672babc9e0
hex6811d8515c00

114425852943360 has 2112 divisors, whose sum is σ = 476213409239040. Its totient is φ = 23264451624960.

The previous prime is 114425852943341. The next prime is 114425852943383. The reversal of 114425852943360 is 63349258524411.

It is a self number, because there is not a number n which added to its sum of digits gives 114425852943360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17055571686 + ... + 17055578394.

It is an arithmetic number, because the mean of its divisors is an integer number (225479833920).

Almost surely, 2114425852943360 is an apocalyptic number.

114425852943360 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 114425852943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238106704619520).

114425852943360 is an abundant number, since it is smaller than the sum of its proper divisors (361787556295680).

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

114425852943360 is a wasteful number, since it uses less digits than its factorization.

114425852943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 114425852943360 in words is "one hundred fourteen trillion, four hundred twenty-five billion, eight hundred fifty-two million, nine hundred forty-three thousand, three hundred sixty".