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140022103210440 = 233511229628773679
BaseRepresentation
bin11111110101100101101111…
…101110001111100111001000
3200100202222112010022222011220
4133311211233232033213020
5121323110231410213230
61213445133255322040
741331156151340613
oct3765455756174710
9610688463288156
10140022103210440
1140685049991410
121385527b080320
136019048a5b549
14268116aa5717a
15112c469c05d10
hex7f596fb8f9c8

140022103210440 has 256 divisors, whose sum is σ = 460334721024000. Its totient is φ = 33790687687680.

The previous prime is 140022103210421. The next prime is 140022103210513. The reversal of 140022103210440 is 44012301220041.

It is a super-2 number, since 2×1400221032104402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140022103210440.

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, 1900397521 + ... + 1900471199.

It is an arithmetic number, because the mean of its divisors is an integer number (1798182504000).

Almost surely, 2140022103210440 is an apocalyptic number.

140022103210440 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 140022103210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230167360512000).

140022103210440 is an abundant number, since it is smaller than the sum of its proper divisors (320312617813560).

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

140022103210440 is a wasteful number, since it uses less digits than its factorization.

140022103210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80220 (or 80216 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140022103210440 its reverse (44012301220041), we get a palindrome (184034404430481).

The spelling of 140022103210440 in words is "one hundred forty trillion, twenty-two billion, one hundred three million, two hundred ten thousand, four hundred forty".