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1114204566420 = 22325111471382549
BaseRepresentation
bin10000001101101011110…
…001000111001110010100
310221111221211110111200100
4100031223301013032110
5121223342332111140
62211505234414100
7143333012356431
oct20155361071624
93844854414610
101114204566420
1139a593480a90
1215bb34a31330
13810b88aca6a
143bcdbbd0b88
151deb2a41530
hex1036bc47394

1114204566420 has 144 divisors (see below), whose sum is σ = 3689520307200. Its totient is φ = 269925868800.

The previous prime is 1114204566413. The next prime is 1114204566463. The reversal of 1114204566420 is 246654024111.

1114204566420 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 0 + 4 + 5 + 6 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2721306 + ... + 3103854.

It is an arithmetic number, because the mean of its divisors is an integer number (25621668800).

Almost surely, 21114204566420 is an apocalyptic number.

1114204566420 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 1114204566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844760153600).

1114204566420 is an abundant number, since it is smaller than the sum of its proper divisors (2575315740780).

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

1114204566420 is a wasteful number, since it uses less digits than its factorization.

1114204566420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384046 (or 384041 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1114204566420 in words is "one trillion, one hundred fourteen billion, two hundred four million, five hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1471 1980 2942 4413 5884 7355 8826 13239 14710 16181 17652 22065 26478 29420 32362 44130 48543 52956 64724 66195 80905 88260 97086 132390 145629 161810 194172 242715 264780 291258 323620 382549 485430 582516 728145 765098 970860 1147647 1456290 1530196 1912745 2295294 2912580 3442941 3825490 4208039 4590588 5738235 6885882 7650980 8416078 11476470 12624117 13771764 16832156 17214705 21040195 22952940 25248234 34429410 37872351 42080390 50496468 63120585 68858820 75744702 84160780 126241170 151489404 189361755 252482340 378723510 562729579 757447020 1125459158 1688188737 2250918316 2813647895 3376377474 5064566211 5627295790 6190025369 6752754948 8440943685 10129132422 11254591580 12380050738 16881887370 18570076107 20258264844 24760101476 25322831055 30950126845 33763774740 37140152214 50645662110 55710228321 61900253690 74280304428 92850380535 101291324220 111420456642 123800507380 185700761070 222840913284 278551141605 371401522140 557102283210 1114204566420