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140223404000400 = 24352741668960869
BaseRepresentation
bin11111111000100001001110…
…001011110100010010010000
3200101111020010010021122001020
4133320201032023310102100
5121334410012411003100
61214121424214035440
741351543445665310
oct3770411613642220
9611436103248036
10140223404000400
1140752458a3a336
121388829a348b80
136032019701106
14268abc57c3440
1511327ec4745a0
hex7f884e2f4490

140223404000400 has 480 divisors, whose sum is σ = 525959223955200. Its totient is φ = 31264142131200.

The previous prime is 140223404000389. The next prime is 140223404000401. The reversal of 140223404000400 is 4000404322041.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (140223404000401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2303661166 + ... + 2303722034.

It is an arithmetic number, because the mean of its divisors is an integer number (1095748383240).

Almost surely, 2140223404000400 is an apocalyptic number.

140223404000400 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 140223404000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262979611977600).

140223404000400 is an abundant number, since it is smaller than the sum of its proper divisors (385735819954800).

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

140223404000400 is a wasteful number, since it uses less digits than its factorization.

140223404000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67627 (or 67616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 140223404000400 its reverse (4000404322041), we get a palindrome (144223808322441).

The spelling of 140223404000400 in words is "one hundred forty trillion, two hundred twenty-three billion, four hundred four million, four hundred", and thus it is an aban number.