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42214326000 = 2435371191373
BaseRepresentation
bin100111010100001010…
…110111111011110000
311000221222200221201120
4213110022313323300
51142423331413000
631220515302240
73023052564510
oct472412677360
9130858627646
1042214326000
11169a2982a30
1282215aa980
133c99a5b832
1420866d7840
1511710d36a0
hex9d42b7ef0

42214326000 has 320 divisors, whose sum is σ = 169683710976. Its totient is φ = 8771712000.

The previous prime is 42214325983. The next prime is 42214326029. The reversal of 42214326000 is 62341224.

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

It is a congruent number.

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, 416314 + ... + 507686.

Almost surely, 242214326000 is an apocalyptic number.

42214326000 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 42214326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84841855488).

42214326000 is an abundant number, since it is smaller than the sum of its proper divisors (127469384976).

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

42214326000 is a wasteful number, since it uses less digits than its factorization.

42214326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91417 (or 91401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42214326000 its reverse (62341224), we get a palindrome (42276667224).

The spelling of 42214326000 in words is "forty-two billion, two hundred fourteen million, three hundred twenty-six thousand".