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141434132131000 = 2353294877039039
BaseRepresentation
bin100000001010001000110011…
…001101000110110010111000
3200112202222012211212020120001
4200022020303031012302320
5122014224100311143000
61220445535431442344
741535164433206122
oct4012106315066270
9615688184766501
10141434132131000
1141079973453765
1213a42a708263b4
1360bc2487b4797
1426cd63ca4c212
15115405ddea46a
hex80a233346cb8

141434132131000 has 64 divisors (see below), whose sum is σ = 342368140608000. Its totient is φ = 54622837225600.

The previous prime is 141434132130959. The next prime is 141434132131001. The reversal of 141434132131000 is 131231434141.

It is a super-2 number, since 2×1414341321310002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141434132131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141434132131001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2438490520 + ... + 2438548519.

It is an arithmetic number, because the mean of its divisors is an integer number (5349502197000).

Almost surely, 2141434132131000 is an apocalyptic number.

141434132131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141434132131000 is an abundant number, since it is smaller than the sum of its proper divisors (200934008477000).

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

141434132131000 is a wasteful number, since it uses less digits than its factorization.

141434132131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877039089 (or 4877039075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 141434132131000 its reverse (131231434141), we get a palindrome (141565363565141).

The spelling of 141434132131000 in words is "one hundred forty-one trillion, four hundred thirty-four billion, one hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 4877039039 9754078078 19508156156 24385195195 39016312312 48770390390 97540780780 121925975975 141434132131 195081561560 243851951950 282868264262 487703903900 565736528524 609629879875 707170660655 975407807800 1131473057048 1219259759750 1414341321310 2438519519500 2828682642620 3535853303275 4877039039000 5657365285240 7071706606550 14143413213100 17679266516375 28286826426200 35358533032750 70717066065500 141434132131000