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2420540614110 = 235479411824331
BaseRepresentation
bin100011001110010011011…
…101101010010111011110
322120101211122012112100110
4203032103131222113132
5304124231344122420
65051551521510450
7336610152513303
oct43162335522736
98511748175313
102420540614110
11853600089623
1233114a1a2426
13147343582638
1485224a630aa
1542e6cd2dee0
hex2339376a5de

2420540614110 has 64 divisors (see below), whose sum is σ = 5939207691264. Its totient is φ = 631072233600.

The previous prime is 2420540614097. The next prime is 2420540614123. The reversal of 2420540614110 is 114160450242.

It is an interprime number because it is at equal distance from previous prime (2420540614097) and next prime (2420540614123).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414645 + ... + 2238975.

It is an arithmetic number, because the mean of its divisors is an integer number (92800120176).

Almost surely, 22420540614110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420540614110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969603845632).

2420540614110 is an abundant number, since it is smaller than the sum of its proper divisors (3518667077154).

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

2420540614110 is a wasteful number, since it uses less digits than its factorization.

2420540614110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825329.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 2420540614110 in words is "two trillion, four hundred twenty billion, five hundred forty million, six hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 941 1410 1882 2823 4705 5646 9410 14115 28230 44227 88454 132681 221135 265362 442270 663405 1326810 1824331 3648662 5472993 9121655 10945986 18243310 27364965 54729930 85743557 171487114 257230671 428717785 514461342 857435570 1286153355 1716695471 2572306710 3433390942 5150086413 8583477355 10300172826 17166954710 25750432065 51500864130 80684687137 161369374274 242054061411 403423435685 484108122822 806846871370 1210270307055 2420540614110