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342121401440 = 255713173144587
BaseRepresentation
bin1001111101010000000…
…01100100110001100000
31012201002000202220221022
410332220001210301200
521101131034321230
6421100212545012
733501041634110
oct4765001446140
91181060686838
10342121401440
11122102680675
125637b922168
13263535532a0
14127b736b040
158d755391e5
hex4fa8064c60

342121401440 has 384 divisors, whose sum is σ = 1087302279168. Its totient is φ = 98617098240.

The previous prime is 342121401421. The next prime is 342121401449. The reversal of 342121401440 is 44104121243.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342121401449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7650827 + ... + 7695413.

It is an arithmetic number, because the mean of its divisors is an integer number (2831516352).

Almost surely, 2342121401440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342121401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543651139584).

342121401440 is an abundant number, since it is smaller than the sum of its proper divisors (745180877728).

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

342121401440 is a wasteful number, since it uses less digits than its factorization.

342121401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44670 (or 44662 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 342121401440 its reverse (44104121243), we get a palindrome (386225522683).

The spelling of 342121401440 in words is "three hundred forty-two billion, one hundred twenty-one million, four hundred one thousand, four hundred forty".