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140023401442320 = 24351183103151181227
BaseRepresentation
bin11111110101100110111101…
…000110100110110000010000
3200100210002212121011222112010
4133311212331012212300100
5121323120411232123240
61213445510153102520
741331233264205324
oct3765467506466020
9610702777158463
10140023401442320
1140685655791220
12138555819b7a40
1360191c49c77a6
142681251237984
15112c4e3b97280
hex7f59bd1a6c10

140023401442320 has 1280 divisors, whose sum is σ = 491945089499136. Its totient is φ = 32663761920000.

The previous prime is 140023401442279. The next prime is 140023401442361. The reversal of 140023401442320 is 23244104320041.

140023401442320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140023401442279) and next prime (140023401442361).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 616843178047 + ... + 616843178273.

Almost surely, 2140023401442320 is an apocalyptic number.

140023401442320 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 140023401442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245972544749568).

140023401442320 is an abundant number, since it is smaller than the sum of its proper divisors (351921688056816).

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

140023401442320 is a wasteful number, since it uses less digits than its factorization.

140023401442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 140023401442320 its reverse (23244104320041), we get a palindrome (163267505762361).

The spelling of 140023401442320 in words is "one hundred forty trillion, twenty-three billion, four hundred one million, four hundred forty-two thousand, three hundred twenty".