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1220134334040 = 23345376584671
BaseRepresentation
bin10001110000010101101…
…011000110111001011000
311022122101021000020220000
4101300111223012321120
5124442313342142130
62332304425133000
7154103031501246
oct21602553067130
94278337006800
101220134334040
11430502028286
1217857862a160
138b09aa67a2b
14430aa5bb796
1521b1263e260
hex11c15ac6e58

1220134334040 has 80 divisors (see below), whose sum is σ = 4101007078080. Its totient is φ = 325369154880.

The previous prime is 1220134334021. The next prime is 1220134334063. The reversal of 1220134334040 is 404334310221.

1220134334040 is a `hidden beast` number, since 1 + 220 + 1 + 3 + 4 + 33 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1220134333995 and 1220134334013.

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 19 ways as a sum of consecutive naturals, for example, 188289096 + ... + 188295575.

It is an arithmetic number, because the mean of its divisors is an integer number (51262588476).

Almost surely, 21220134334040 is an apocalyptic number.

1220134334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220134334040 is an abundant number, since it is smaller than the sum of its proper divisors (2880872744040).

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

1220134334040 is a wasteful number, since it uses less digits than its factorization.

1220134334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376584694 (or 376584681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1220134334040 its reverse (404334310221), we get a palindrome (1624468644261).

The spelling of 1220134334040 in words is "one trillion, two hundred twenty billion, one hundred thirty-four million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 376584671 753169342 1129754013 1506338684 1882923355 2259508026 3012677368 3389262039 3765846710 4519016052 5648770065 6778524078 7531693420 9038032104 10167786117 11297540130 13557048156 15063386840 16946310195 20335572234 22595080260 27114096312 30503358351 33892620390 40671144468 45190160520 50838930585 61006716702 67785240780 81342288936 101677861170 122013433404 135570481560 152516791755 203355722340 244026866808 305033583510 406711444680 610067167020 1220134334040