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1228090119408 = 243229294082883
BaseRepresentation
bin10001110111101111111…
…000000001010011110000
311100101220201020000201100
4101313233320001103300
5130110112032310113
62340102105204400
7154504134530625
oct21675770012360
94311821200640
101228090119408
11433914946609
1217a018a90700
138ba68099b39
144362305634c
1521e2ad03d73
hex11defe014f0

1228090119408 has 60 divisors (see below), whose sum is σ = 3555462067560. Its totient is φ = 395247393408.

The previous prime is 1228090119401. The next prime is 1228090119469. The reversal of 1228090119408 is 8049110908221.

1228090119408 is a `hidden beast` number, since 1 + 228 + 0 + 9 + 0 + 1 + 19 + 408 = 666.

It is a super-3 number, since 3×12280901194083 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228090119401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147037266 + ... + 147045617.

It is an arithmetic number, because the mean of its divisors is an integer number (59257701126).

Almost surely, 21228090119408 is an apocalyptic number.

1228090119408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1228090119408 is an abundant number, since it is smaller than the sum of its proper divisors (2327371948152).

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

1228090119408 is a wasteful number, since it uses less digits than its factorization.

1228090119408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294082926 (or 294082917 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1228090119408 in words is "one trillion, two hundred twenty-eight billion, ninety million, one hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 294082883 588165766 882248649 1176331532 1764497298 2352663064 2646745947 3528994596 4705326128 5293491894 7057989192 8528403607 10586983788 14115978384 17056807214 21173967576 25585210821 34113614428 42347935152 51170421642 68227228856 76755632463 102340843284 136454457712 153511264926 204681686568 307022529852 409363373136 614045059704 1228090119408