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422412021240 = 23351121011132549
BaseRepresentation
bin1100010010110011011…
…01111110110111111000
31111101022121202000100120
412021121231332313320
523410044434134430
6522015311333240
742342522636546
oct6113155766770
91441277660316
10422412021240
11153164634700
1269a48b21220
1330aaa950481
1416632956d96
15aec42b2610
hex6259b7edf8

422412021240 has 384 divisors, whose sum is σ = 1419709032000. Its totient is φ = 100452352000.

The previous prime is 422412021203. The next prime is 422412021253. The reversal of 422412021240 is 42120214224.

It is a happy number.

It is a super-4 number, since 4×4224120212404 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422412021240.

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, 165715486 + ... + 165718034.

Almost surely, 2422412021240 is an apocalyptic number.

422412021240 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 422412021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709854516000).

422412021240 is an abundant number, since it is smaller than the sum of its proper divisors (997297010760).

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

422412021240 is a wasteful number, since it uses less digits than its factorization.

422412021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 422412021240 its reverse (42120214224), we get a palindrome (464532235464).

The spelling of 422412021240 in words is "four hundred twenty-two billion, four hundred twelve million, twenty-one thousand, two hundred forty".