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141142311011430 = 23257833592001953
BaseRepresentation
bin100000000101111001000001…
…010011111000010001100110
3200111202001222022221101112100
4200011321001103320101212
5121444433423104331210
61220103514344232530
741505124020500061
oct4005710123702146
9614661868841470
10141142311011430
1140a77132aa2383
12139b63aa46b746
13609a88029a3c1
1426bd477c598d8
15114b67e7bd5c0
hex805e414f8466

141142311011430 has 48 divisors (see below), whose sum is σ = 366970660392960. Its totient is φ = 37637882755584.

The previous prime is 141142311011423. The next prime is 141142311011441. The reversal of 141142311011430 is 34110113241141.

141142311011430 is a `hidden beast` number, since 1 + 4 + 11 + 423 + 110 + 114 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141142311011394 and 141142311011403.

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 23 ways as a sum of consecutive naturals, for example, 69501334 + ... + 71503286.

It is an arithmetic number, because the mean of its divisors is an integer number (7645222091520).

Almost surely, 2141142311011430 is an apocalyptic number.

141142311011430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141142311011430 is an abundant number, since it is smaller than the sum of its proper divisors (225828349381530).

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

141142311011430 is a wasteful number, since it uses less digits than its factorization.

141142311011430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785325 (or 2785322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 141142311011430 its reverse (34110113241141), we get a palindrome (175252424252571).

The spelling of 141142311011430 in words is "one hundred forty-one trillion, one hundred forty-two billion, three hundred eleven million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 783359 1566718 2001953 2350077 3916795 4003906 4700154 6005859 7050231 7833590 10009765 11750385 12011718 14100462 18017577 20019530 23500770 30029295 35251155 36035154 60058590 70502310 90087885 180175770 1568247900127 3136495800254 4704743700381 7841239500635 9409487400762 14114231101143 15682479001270 23523718501905 28228462202286 47047437003810 70571155505715 141142311011430