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1434723334220 = 2251125194127611
BaseRepresentation
bin10100111000001100001…
…011001011100001001100
312002011021100001221022102
4110320030023023201030
5142001303133143340
63015034112134232
7205440532060421
oct24701413134114
95064240057272
101434723334220
1150350aa12220
121b2085b37378
13a53a870c997
144d626097d48
15274c1790215
hex14e0c2cb84c

1434723334220 has 96 divisors (see below), whose sum is σ = 3303542092032. Its totient is φ = 519068000000.

The previous prime is 1434723334201. The next prime is 1434723334229. The reversal of 1434723334220 is 224333274341.

It is not an unprimeable number, because it can be changed into a prime (1434723334229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51948215 + ... + 51975825.

It is an arithmetic number, because the mean of its divisors is an integer number (34411896792).

Almost surely, 21434723334220 is an apocalyptic number.

1434723334220 is a gapful number since it is divisible by the number (10) 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 1434723334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651771046016).

1434723334220 is an abundant number, since it is smaller than the sum of its proper divisors (1868818757812).

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

1434723334220 is a wasteful number, since it uses less digits than its factorization.

1434723334220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28823 (or 28821 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 38.

The spelling of 1434723334220 in words is "one trillion, four hundred thirty-four billion, seven hundred twenty-three million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 941 1004 1255 1882 2510 2761 3764 4705 5020 5522 9410 10351 11044 13805 18820 20702 27610 27611 41404 51755 55220 55222 103510 110444 138055 207020 236191 276110 303721 472382 552220 607442 944764 1180955 1214884 1518605 2361910 2598101 3037210 4723820 5196202 6074420 6930361 10392404 12990505 13860722 25981010 25981951 27721444 34651805 51962020 51963902 69303610 76233971 103927804 129909755 138607220 152467942 259819510 285801461 304935884 381169855 519639020 571602922 762339710 1143205844 1429007305 1524679420 2858014610 5716029220 6521469701 13042939402 26085878804 32607348505 65214697010 71736166711 130429394020 143472333422 286944666844 358680833555 717361667110 1434723334220