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140012024101400 = 235211475325548707
BaseRepresentation
bin11111110101011100010110…
…111101011111101000011000
3200100202000111200201011212002
4133311130112331133220120
5121322424111132221100
61213440345205140132
741330351323333223
oct3765342675375030
9610660450634762
10140012024101400
1140680847554630
12138533276ba648
1360181008633b9
1426808921c05ba
15112c079e1d2d5
hex7f5716f5fa18

140012024101400 has 192 divisors, whose sum is σ = 369520161338880. Its totient is φ = 48890003801600.

The previous prime is 140012024101363. The next prime is 140012024101487. The reversal of 140012024101400 is 4101420210041.

It is a super-3 number, since 3×1400120241014003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7294154 + ... + 18254553.

It is an arithmetic number, because the mean of its divisors is an integer number (1924584173640).

Almost surely, 2140012024101400 is an apocalyptic number.

140012024101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012024101400 is an abundant number, since it is smaller than the sum of its proper divisors (229508137237480).

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

140012024101400 is a wasteful number, since it uses less digits than its factorization.

140012024101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25548834 (or 25548825 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140012024101400 its reverse (4101420210041), we get a palindrome (144113444311441).

The spelling of 140012024101400 in words is "one hundred forty trillion, twelve billion, twenty-four million, one hundred one thousand, four hundred".