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141252261312 = 2633375873719
BaseRepresentation
bin1000001110001101001…
…0100111010111000000
3111111121010001100022210
42003203102213113000
54303241034330222
6144520154102120
713130235260631
oct2034322472700
9444533040283
10141252261312
11549a5245648
122346111a940
1310421153c16
146b9da83888
153a1ab31d0c
hex20e34a75c0

141252261312 has 112 divisors (see below), whose sum is σ = 375578461440. Its totient is φ = 46851796992.

The previous prime is 141252261247. The next prime is 141252261343. The reversal of 141252261312 is 213162252141.

It is a super-2 number, since 2×1412522613122 (a number of 23 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 141252261312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37979389 + ... + 37983107.

It is an arithmetic number, because the mean of its divisors is an integer number (3353379120).

Almost surely, 2141252261312 is an apocalyptic number.

141252261312 is a gapful number since it is divisible by the number (12) 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 141252261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187789230720).

141252261312 is an abundant number, since it is smaller than the sum of its proper divisors (234326200128).

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

141252261312 is a wasteful number, since it uses less digits than its factorization.

141252261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4648 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The spelling of 141252261312 in words is "one hundred forty-one billion, two hundred fifty-two million, two hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 337 587 674 1011 1174 1348 1761 2022 2348 2696 3522 3719 4044 4696 5392 7044 7438 8088 9392 10784 11157 14088 14876 16176 18784 21568 22314 28176 29752 32352 37568 44628 56352 59504 64704 89256 112704 119008 178512 197819 238016 357024 395638 593457 714048 791276 1186914 1253303 1582552 2183053 2373828 2506606 3165104 3759909 4366106 4747656 5013212 6330208 6549159 7519818 8732212 9495312 10026424 12660416 13098318 15039636 17464424 18990624 20052848 26196636 30079272 34928848 37981248 40105696 52393272 60158544 69857696 80211392 104786544 120317088 139715392 209573088 240634176 419146176 735688861 1471377722 2207066583 2942755444 4414133166 5885510888 8828266332 11771021776 17656532664 23542043552 35313065328 47084087104 70626130656 141252261312