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141011045252 = 227119710744111
BaseRepresentation
bin1000001101010011101…
…0011100101110000100
3111110222022011022002122
42003110322130232010
54302242311422002
6144440220025112
713121246052050
oct2032472345604
9443868138078
10141011045252
1154891071430
12233b4392198
13103b319871c
146b79a12c60
153a048856a2
hex20d4e9cb84

141011045252 has 96 divisors (see below), whose sum is σ = 313744306176. Its totient is φ = 53863603200.

The previous prime is 141011045251. The next prime is 141011045281. The reversal of 141011045252 is 252540110141.

It is a happy number.

It is a super-2 number, since 2×1410110452522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141011045251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174677 + ... + 3218787.

It is an arithmetic number, because the mean of its divisors is an integer number (3268169856).

Almost surely, 2141011045252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141011045252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156872153088).

141011045252 is an abundant number, since it is smaller than the sum of its proper divisors (172733260924).

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

141011045252 is a wasteful number, since it uses less digits than its factorization.

141011045252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44337 (or 44335 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 141011045252 its reverse (252540110141), we get a palindrome (393551155393).

The spelling of 141011045252 in words is "one hundred forty-one billion, eleven million, forty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 107 154 194 214 308 388 428 679 749 1067 1177 1358 1498 2134 2354 2716 2996 4268 4708 7469 8239 10379 14938 16478 20758 29876 32956 41516 44111 72653 88222 114169 145306 176444 228338 290612 308777 456676 485221 617554 799183 970442 1235108 1598366 1940884 3196732 3396547 4278767 4719877 6793094 8557534 9439754 13586188 17115068 18879508 29951369 33039139 47066437 51918647 59902738 66078278 94132874 103837294 119805476 132156556 188265748 207674588 329465059 363430529 457828069 658930118 726861058 915656138 1317860236 1453722116 1831312276 3204796483 5036108759 6409592966 10072217518 12819185932 20144435036 35252761313 70505522626 141011045252