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140513223312 = 24347116132297
BaseRepresentation
bin1000001011011100111…
…1011010001010010000
3111102200121102022210000
42002313033122022100
54300232341121222
6144314554010000
713103022456120
oct2026717321220
9442617368700
10140513223312
1154656062440
1223295716900
1310333cc6b27
146b2d866c80
1539c5cec9ac
hex20b73da290

140513223312 has 400 divisors, whose sum is σ = 508085373312. Its totient is φ = 36421539840.

The previous prime is 140513223311. The next prime is 140513223337. The reversal of 140513223312 is 213322315041.

140513223312 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 1 + 322 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140513223311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61171348 + ... + 61173644.

Almost surely, 2140513223312 is an apocalyptic number.

140513223312 is a gapful number since it is divisible by the number (12) 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 140513223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254042686656).

140513223312 is an abundant number, since it is smaller than the sum of its proper divisors (367572150000).

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

140513223312 is a wasteful number, since it uses less digits than its factorization.

140513223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 140513223312 its reverse (213322315041), we get a palindrome (353835538353).

The spelling of 140513223312 in words is "one hundred forty billion, five hundred thirteen million, two hundred twenty-three thousand, three hundred twelve".