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42230244040344 = 233219298317837193
BaseRepresentation
bin10011001101000011111101…
…01100011101111010011000
312112112011122022112222120100
421212201332230131322120
521013400014433242334
6225452150054055400
711616014546435403
oct1146417654357230
9175464568488510
1042230244040344
1112501822903218
1248a060734a560
131a743aac49c59
14a5dd51a5cd3a
154d378b400c99
hex26687eb1de98

42230244040344 has 384 divisors, whose sum is σ = 126133495488000. Its totient is φ = 12711974381568.

The previous prime is 42230244040337. The next prime is 42230244040351. The reversal of 42230244040344 is 44304044203224.

42230244040344 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 0 + 244 + 0 + 403 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42230244040337) and next prime (42230244040351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42230244040299 and 42230244040308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5871016012 + ... + 5871023204.

It is an arithmetic number, because the mean of its divisors is an integer number (328472644500).

Almost surely, 242230244040344 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 42230244040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63066747744000).

42230244040344 is an abundant number, since it is smaller than the sum of its proper divisors (83903251447656).

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

42230244040344 is a wasteful number, since it uses less digits than its factorization.

42230244040344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 42230244040344 its reverse (44304044203224), we get a palindrome (86534288243568).

The spelling of 42230244040344 in words is "forty-two trillion, two hundred thirty billion, two hundred forty-four million, forty thousand, three hundred forty-four".