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141140708014032 = 243219263196146449
BaseRepresentation
bin100000000101110111100001…
…110000111011011111010000
3200111201220211121121200111100
4200011313201300323133100
5121444422132222422112
61220103051322344400
741505036214314216
oct4005674160733720
9614656747550440
10141140708014032
1140a76490163741
12139b602165b100
13609a68615522c
1426bd364dc4cb6
15114b5d8bcb2dc
hex805de1c3b7d0

141140708014032 has 120 divisors (see below), whose sum is σ = 417368262168000. Its totient is φ = 44401279140864.

The previous prime is 141140708014021. The next prime is 141140708014063. The reversal of 141140708014032 is 230410807041141.

141140708014032 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 407 + 0 + 80 + 140 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97353657 + ... + 98792792.

It is an arithmetic number, because the mean of its divisors is an integer number (3478068851400).

Almost surely, 2141140708014032 is an apocalyptic number.

141140708014032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141140708014032 is an abundant number, since it is smaller than the sum of its proper divisors (276227554153968).

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

141140708014032 is a wasteful number, since it uses less digits than its factorization.

141140708014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196146745 (or 196146736 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 141140708014032 in words is "one hundred forty-one trillion, one hundred forty billion, seven hundred eight million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 263 304 342 456 526 684 789 912 1052 1368 1578 2104 2367 2736 3156 4208 4734 4997 6312 9468 9994 12624 14991 18936 19988 29982 37872 39976 44973 59964 79952 89946 119928 179892 239856 359784 719568 196146449 392292898 588439347 784585796 1176878694 1569171592 1765318041 2353757388 3138343184 3530636082 3726782531 4707514776 7061272164 7453565062 9415029552 11180347593 14122544328 14907130124 22360695186 28245088656 29814260248 33541042779 44721390372 51586516087 59628520496 67082085558 89442780744 103173032174 134164171116 154759548261 178885561488 206346064348 268328342232 309519096522 412692128696 464278644783 536656684464 619038193044 825384257392 928557289566 980143805653 1238076386088 1857114579132 1960287611306 2476152772176 2940431416959 3714229158264 3920575222612 5880862833918 7428458316528 7841150445224 8821294250877 11761725667836 15682300890448 17642588501754 23523451335672 35285177003508 47046902671344 70570354007016 141140708014032