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141142214403100 = 225279112991581211
BaseRepresentation
bin100000000101111000111011…
…100011010110010000011100
3200111202001201121011011211001
4200011320323203112100130
5121444433223341344400
61220103501013440044
741505121435362121
oct4005707343262034
9614661647134731
10141142214403100
1140a77093508089
12139b6382040024
13609a866273601
1426bd4690ac748
15114b676088a6a
hex805e3b8d641c

141142214403100 has 72 divisors (see below), whose sum is σ = 310183195616000. Its totient is φ = 55737273009600.

The previous prime is 141142214403067. The next prime is 141142214403101. The reversal of 141142214403100 is 1304412241141.

It is a happy number.

It is a super-2 number, since 2×1411422144031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141142214403101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88471495 + ... + 90052705.

Almost surely, 2141142214403100 is an apocalyptic number.

141142214403100 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 141142214403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155091597808000).

141142214403100 is an abundant number, since it is smaller than the sum of its proper divisors (169040981212900).

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

141142214403100 is a wasteful number, since it uses less digits than its factorization.

141142214403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592603 (or 1592596 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141142214403100 its reverse (1304412241141), we get a palindrome (142446626644241).

The spelling of 141142214403100 in words is "one hundred forty-one trillion, one hundred forty-two billion, two hundred fourteen million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 11299 22598 45196 56495 112990 225980 282475 564950 892621 1129900 1581211 1785242 3162422 3570484 4463105 6324844 7906055 8926210 15812110 17852420 22315525 31624220 39530275 44631050 79060550 89262100 124915669 158121100 249831338 499662676 624578345 1249156690 2498313380 3122891725 6245783450 12491566900 17866103089 35732206178 71464412356 89330515445 178661030890 357322061780 446652577225 893305154450 1411422144031 1786610308900 2822844288062 5645688576124 7057110720155 14114221440310 28228442880620 35285553600775 70571107201550 141142214403100