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141035164452 = 223271343979791
BaseRepresentation
bin1000001101011001011…
…0011101001100100100
3111111000222112200102100
42003112112131030210
54302320000230302
6144442441012100
713121661055320
oct2032626351444
9444028480370
10141035164452
11548a3745556
1223400484030
13103b8191a40
146b7ccd0980
153a06a4bd1c
hex20d659d324

141035164452 has 144 divisors (see below), whose sum is σ = 438920681472. Its totient is φ = 37183829760.

The previous prime is 141035164411. The next prime is 141035164471. The reversal of 141035164452 is 254461530141.

141035164452 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 5 + 1 + 644 + 5 + 2 = 666.

It is a super-2 number, since 2×1410351644522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14399677 + ... + 14409467.

It is an arithmetic number, because the mean of its divisors is an integer number (3048060288).

Almost surely, 2141035164452 is an apocalyptic number.

141035164452 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 141035164452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219460340736).

141035164452 is an abundant number, since it is smaller than the sum of its proper divisors (297885517020).

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

141035164452 is a wasteful number, since it uses less digits than its factorization.

141035164452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 141035164452 its reverse (254461530141), we get a palindrome (395496694593).

The spelling of 141035164452 in words is "one hundred forty-one billion, thirty-five million, one hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 4397 8794 9791 13191 17588 19582 26382 29373 30779 39164 39573 52764 57161 58746 61558 68537 79146 88119 92337 114322 117492 123116 127283 137074 158292 171483 176238 184674 205611 228644 254566 274148 277011 342966 352476 369348 381849 400127 411222 509132 514449 554022 616833 685932 763698 800254 822444 890981 1028898 1108044 1145547 1200381 1233666 1527396 1600508 1781962 2057796 2291094 2400762 2467332 2672943 3563924 3601143 4582188 4801524 5345886 7202286 8018829 10691772 14404572 16037658 32075316 43051027 86102054 129153081 172204108 258306162 301357189 387459243 516612324 559663351 602714378 774918486 904071567 1119326702 1205428756 1549836972 1678990053 1808143134 2238653404 2712214701 3357980106 3616286268 3917643457 5036970159 5424429402 6715960212 7835286914 10073940318 10848858804 11752930371 15670573828 20147880636 23505860742 35258791113 47011721484 70517582226 141035164452