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1233040552040 = 2351119906716267
BaseRepresentation
bin10001111100010110111…
…100011011000001101000
311100212200201100001122002
4101330112330123001220
5130200231340131130
62342241230150132
7155040615522053
oct21742674330150
94325621301562
101233040552040
11435a25278950
1217ab7a952348
138c37689220b
14439726d3a9a
152211a718b45
hex11f16f1b068

1233040552040 has 128 divisors (see below), whose sum is σ = 3186393638400. Its totient is φ = 424706561280.

The previous prime is 1233040552033. The next prime is 1233040552129. The reversal of 1233040552040 is 402550403321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1233040551994 and 1233040552012.

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, 75791987 + ... + 75808253.

It is an arithmetic number, because the mean of its divisors is an integer number (24893700300).

Almost surely, 21233040552040 is an apocalyptic number.

1233040552040 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 1233040552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593196819200).

1233040552040 is an abundant number, since it is smaller than the sum of its proper divisors (1953353086360).

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

1233040552040 is a wasteful number, since it uses less digits than its factorization.

1233040552040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25375 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 1233040552040 its reverse (402550403321), we get a palindrome (1635590955361).

The spelling of 1233040552040 in words is "one trillion, two hundred thirty-three billion, forty million, five hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 9067 16267 18134 32534 36268 45335 65068 72536 81335 90670 99737 130136 162670 172273 178937 181340 199474 309073 325340 344546 357874 362680 398948 498685 618146 650680 689092 715748 797896 861365 894685 997370 1236292 1378184 1431496 1545365 1722730 1789370 1895003 1994740 2472584 3090730 3399803 3445460 3578740 3790006 3989480 6181460 6799606 6890920 7157480 7580012 9475015 12362920 13599212 15160024 16999015 18950030 27198424 33998030 37900060 67996060 75800120 135992120 147492889 294985778 589971556 737464445 1179943112 1474928890 1622421779 2802364891 2949857780 3244843558 5604729782 5899715560 6489687116 8112108895 11209459564 12979374232 14011824455 16224217790 22418919128 28023648910 30826013801 32448435580 56047297820 61652027602 64896871160 112094595640 123304055204 154130069005 246608110408 308260138010 616520276020 1233040552040