Search a number
-
+
194249610240 = 2103572614231
BaseRepresentation
bin1011010011101000101…
…1011101010000000000
3200120101120220121200220
42310322023131100000
511140310400011430
6225123111143040
720014454305200
oct2647213352000
9616346817626
10194249610240
1175420928274
1231791974a80
1315418b8a59a
14958a4ca400
1550bd6e5110
hex2d3a2dd400

194249610240 has 528 divisors, whose sum is σ = 734752865664. Its totient is φ = 43661721600.

The previous prime is 194249610223. The next prime is 194249610253. The reversal of 194249610240 is 42016942491.

It is a super-2 number, since 2×1942496102402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 194249610192 and 194249610201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45908925 + ... + 45913155.

Almost surely, 2194249610240 is an apocalyptic number.

194249610240 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 194249610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367376432832).

194249610240 is an abundant number, since it is smaller than the sum of its proper divisors (540503255424).

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

194249610240 is a wasteful number, since it uses less digits than its factorization.

194249610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 194249610240 in words is "one hundred ninety-four billion, two hundred forty-nine million, six hundred ten thousand, two hundred forty".