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141431141200 = 2452495771329
BaseRepresentation
bin1000001110110111110…
…0111111001101010000
3111112001120122101101211
42003231330333031100
54304122333004300
6144550024105504
713134536602426
oct2035574771520
9445046571354
10141431141200
1154a87212768
12234b1005294
131044c224ccb
146bb9729116
153a2b6b84ba
hex20edf3f350

141431141200 has 60 divisors (see below), whose sum is σ = 339861628540. Its totient is φ = 56560250880.

The previous prime is 141431141179. The next prime is 141431141221. The reversal of 141431141200 is 2141134141.

It is an interprime number because it is at equal distance from previous prime (141431141179) and next prime (141431141221).

It can be written as a sum of positive squares in 6 ways, for example, as 10887670336 + 130543470864 = 104344^2 + 361308^2 .

It is a super-2 number, since 2×1414311412002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947136 + ... + 2018464.

Almost surely, 2141431141200 is an apocalyptic number.

141431141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141431141200 is an abundant number, since it is smaller than the sum of its proper divisors (198430487340).

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

141431141200 is a wasteful number, since it uses less digits than its factorization.

141431141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76304 (or 76293 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 141431141200 its reverse (2141134141), we get a palindrome (143572275341).

The spelling of 141431141200 in words is "one hundred forty-one billion, four hundred thirty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4957 9914 19828 24785 39656 49570 71329 79312 99140 123925 142658 198280 247850 285316 356645 396560 495700 570632 713290 991400 1141264 1426580 1783225 1982800 2853160 3566450 5706320 7132900 14265800 28531600 353577853 707155706 1414311412 1767889265 2828622824 3535778530 5657245648 7071557060 8839446325 14143114120 17678892650 28286228240 35357785300 70715570600 141431141200