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42154346220 = 22357231631733
BaseRepresentation
bin100111010000100110…
…000100011011101100
311000210210211122221020
4213100212010123230
51142313003034340
631210533534140
73021424013400
oct472046043354
9130723748836
1042154346220
1116972036268
1282054a4350
133c8a4bab3c
14207c763100
15116abd69d0
hex9d09846ec

42154346220 has 288 divisors, whose sum is σ = 142150127616. Its totient is φ = 9296985600.

The previous prime is 42154346207. The next prime is 42154346261. The reversal of 42154346220 is 2264345124.

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, 57508974 + ... + 57509706.

It is an arithmetic number, because the mean of its divisors is an integer number (493576832).

Almost surely, 242154346220 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 42154346220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71075063808).

42154346220 is an abundant number, since it is smaller than the sum of its proper divisors (99995781396).

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

42154346220 is a wasteful number, since it uses less digits than its factorization.

42154346220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 42154346220 in words is "forty-two billion, one hundred fifty-four million, three hundred forty-six thousand, two hundred twenty".