Search a number
-
+
141310331430020 = 2251710322787720269
BaseRepresentation
bin100000001000010101100000…
…000110111010010010000100
3200112100010122222000000110122
4200020111200012322102010
5122010212024321230040
61220313023045041112
741523222513464624
oct4010254006722204
9615303588000418
10141310331430020
1141031414159755
1213a22a800b6198
1360b0679078c2c
1426c7656a30884
151150c1543b1b5
hex8085601ba484

141310331430020 has 192 divisors, whose sum is σ = 319034938360320. Its totient is φ = 52388212727808.

The previous prime is 141310331429987. The next prime is 141310331430029. The reversal of 141310331430020 is 20034133013141.

It is not an unprimeable number, because it can be changed into a prime (141310331430029) 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, 6971736446 + ... + 6971756714.

It is an arithmetic number, because the mean of its divisors is an integer number (1661640303960).

Almost surely, 2141310331430020 is an apocalyptic number.

141310331430020 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 141310331430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159517469180160).

141310331430020 is an abundant number, since it is smaller than the sum of its proper divisors (177724606930300).

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

141310331430020 is a wasteful number, since it uses less digits than its factorization.

141310331430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21502 (or 21500 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 141310331430020 its reverse (20034133013141), we get a palindrome (161344464443161).

The spelling of 141310331430020 in words is "one hundred forty-one trillion, three hundred ten billion, three hundred thirty-one million, four hundred thirty thousand, twenty".