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140402203141200 = 24352711131091072339
BaseRepresentation
bin11111111011000111101111…
…011100011010010001010000
3200102010022121221102002011020
4133323013233130122101100
5121400322203001004300
61214335514240115440
741400503323421220
oct3773075734322120
9612108557362136
10140402203141200
11408112704391a0
12138b6a79905b80
136045b42610090
142695707d08080
1511372b45228a0
hex7fb1ef71a450

140402203141200 has 960 divisors, whose sum is σ = 609407562086400. Its totient is φ = 26683200921600.

The previous prime is 140402203141181. The next prime is 140402203141231. The reversal of 140402203141200 is 2141302204041.

It is a super-2 number, since 2×1404022031412002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130394631 + ... + 131466969.

It is an arithmetic number, because the mean of its divisors is an integer number (634799543840).

Almost surely, 2140402203141200 is an apocalyptic number.

140402203141200 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 140402203141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304703781043200).

140402203141200 is an abundant number, since it is smaller than the sum of its proper divisors (469005358945200).

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

140402203141200 is a wasteful number, since it uses less digits than its factorization.

140402203141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072500 (or 1072489 counting only the distinct ones).

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

Adding to 140402203141200 its reverse (2141302204041), we get a palindrome (142543505345241).

The spelling of 140402203141200 in words is "one hundred forty trillion, four hundred two billion, two hundred three million, one hundred forty-one thousand, two hundred".