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424412211400 = 235217307617659
BaseRepresentation
bin1100010110100001111…
…00000110100011001000
31111120111000110012102121
412023100330012203020
523423144011231100
6522550002341024
742443221163002
oct6132074064310
91446430405377
10424412211400
11153aa06a1121
126a30695a774
1331039163248
1416782461372
15b08ebb151a
hex62d0f068c8

424412211400 has 192 divisors, whose sum is σ = 1051498324800. Its totient is φ = 158758871040.

The previous prime is 424412211313. The next prime is 424412211427. The reversal of 424412211400 is 4112214424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644024271 + ... + 644024929.

It is an arithmetic number, because the mean of its divisors is an integer number (5476553775).

Almost surely, 2424412211400 is an apocalyptic number.

424412211400 is a gapful number since it is divisible by the number (40) 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 424412211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525749162400).

424412211400 is an abundant number, since it is smaller than the sum of its proper divisors (627086113400).

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

424412211400 is a wasteful number, since it uses less digits than its factorization.

424412211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 424412211400 its reverse (4112214424), we get a palindrome (428524425824).

The spelling of 424412211400 in words is "four hundred twenty-four billion, four hundred twelve million, two hundred eleven thousand, four hundred".