Search a number
-
+
130401402140 = 225233779293331
BaseRepresentation
bin111100101110010000…
…1110111110100011100
3110110120220020120211202
41321130201313310130
54114030224332030
6135523334335032
712264316425662
oct1713441676434
9413526216752
10130401402140
1150337212539
12213331ba478
13c3b20b73a9
146450916c32
1535d3202745
hex1e5c877d1c

130401402140 has 192 divisors, whose sum is σ = 299102146560. Its totient is φ = 47621882880.

The previous prime is 130401402139. The next prime is 130401402149. The reversal of 130401402140 is 41204104031.

130401402140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130401402149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393961775 + ... + 393962105.

It is an arithmetic number, because the mean of its divisors is an integer number (1557823680).

Almost surely, 2130401402140 is an apocalyptic number.

130401402140 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 130401402140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149551073280).

130401402140 is an abundant number, since it is smaller than the sum of its proper divisors (168700744420).

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

130401402140 is a wasteful number, since it uses less digits than its factorization.

130401402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 130401402140 its reverse (41204104031), we get a palindrome (171605506171).

The spelling of 130401402140 in words is "one hundred thirty billion, four hundred one million, four hundred two thousand, one hundred forty".