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4223665342440 = 233358956378049
BaseRepresentation
bin111101011101100110000…
…100101000011111101000
3112221210000111111100021000
4331131212010220133220
51023200031311424230
612552154114315000
7614102236023435
oct75354604503750
915853014440230
104223665342440
111389278a7a915
125826a8b88a60
1324839cca01cb
141085d8424b8c
1574d01d67b60
hex3d7661287e8

4223665342440 has 256 divisors, whose sum is σ = 14262544800000. Its totient is φ = 1111663263744.

The previous prime is 4223665342439. The next prime is 4223665342459. The reversal of 4223665342440 is 442435663224.

4223665342440 is a `hidden beast` number, since 4 + 22 + 36 + 6 + 534 + 24 + 40 = 666.

It is a super-3 number, since 3×42236653424403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54076536 + ... + 54154584.

It is an arithmetic number, because the mean of its divisors is an integer number (55713065625).

Almost surely, 24223665342440 is an apocalyptic number.

4223665342440 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 4223665342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131272400000).

4223665342440 is an abundant number, since it is smaller than the sum of its proper divisors (10038879457560).

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

4223665342440 is a wasteful number, since it uses less digits than its factorization.

4223665342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78721 (or 78711 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 4223665342440 in words is "four trillion, two hundred twenty-three billion, six hundred sixty-five million, three hundred forty-two thousand, four hundred forty".