Search a number
-
+
142354544344320 = 2835711881546479
BaseRepresentation
bin100000010111100010000000…
…000011000011110100000000
3200200000221221221211012102010
4200113202000003003310000
5122124314101323004240
61222432435211452520
741661530213013510
oct4027420003036400
9620027857735363
10142354544344320
11413a425011a540
1213b71320a57140
136157c8c174c09
142721dd4d7d840
15116ce7d46a280
hex8178800c3d00

142354544344320 has 576 divisors, whose sum is σ = 567474345123840. Its totient is φ = 29546535321600.

The previous prime is 142354544344279. The next prime is 142354544344349. The reversal of 142354544344320 is 23443445453241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142354544344320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260220841 + ... + 260767319.

It is an arithmetic number, because the mean of its divisors is an integer number (985198515840).

Almost surely, 2142354544344320 is an apocalyptic number.

142354544344320 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 142354544344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283737172561920).

142354544344320 is an abundant number, since it is smaller than the sum of its proper divisors (425119800779520).

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

142354544344320 is a wasteful number, since it uses less digits than its factorization.

142354544344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547402 (or 547388 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 48.

Adding to 142354544344320 its reverse (23443445453241), we get a palindrome (165797989797561).

The spelling of 142354544344320 in words is "one hundred forty-two trillion, three hundred fifty-four billion, five hundred forty-four million, three hundred forty-four thousand, three hundred twenty".