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422123434000 = 24531291163487
BaseRepresentation
bin1100010010010001000…
…01000111000000010000
31111100120111201021002021
412021020201013000100
523404002044342000
6521530522101224
742332416662412
oct6111041070020
91440514637067
10422123434000
11153026745854
126998834a814
1330a62c1a2a8
14166064b49b2
15aea8caa11a
hex6248847010

422123434000 has 80 divisors (see below), whose sum is σ = 1021491334656. Its totient is φ = 168717552000.

The previous prime is 422123433989. The next prime is 422123434027. The reversal of 422123434000 is 434321224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500257 + ... + 2663743.

Almost surely, 2422123434000 is an apocalyptic number.

422123434000 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 422123434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510745667328).

422123434000 is an abundant number, since it is smaller than the sum of its proper divisors (599367900656).

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

422123434000 is a wasteful number, since it uses less digits than its factorization.

422123434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164801 (or 164785 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 422123434000 its reverse (434321224), we get a palindrome (422557755224).

The spelling of 422123434000 in words is "four hundred twenty-two billion, one hundred twenty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1291 2000 2582 5164 6455 10328 12910 20656 25820 32275 51640 64550 103280 129100 161375 163487 258200 322750 326974 516400 645500 653948 817435 1291000 1307896 1634870 2582000 2615792 3269740 4087175 6539480 8174350 13078960 16348700 20435875 32697400 40871750 65394800 81743500 163487000 211061717 326974000 422123434 844246868 1055308585 1688493736 2110617170 3376987472 4221234340 5276542925 8442468680 10553085850 16884937360 21106171700 26382714625 42212343400 52765429250 84424686800 105530858500 211061717000 422123434000