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141384345264 = 2434176417227
BaseRepresentation
bin1000001110101100101…
…0011110011010110000
3111111221022120220110000
42003223022132122300
54304023343022024
6144541233110000
713133431051221
oct2035312363260
9444838526400
10141384345264
1154a62860238
12234993b8300
131044261c0c6
146bb3427248
153a27522cc9
hex20eb29e6b0

141384345264 has 100 divisors (see below), whose sum is σ = 433278400104. Its totient is φ = 44355866112.

The previous prime is 141384345259. The next prime is 141384345283. The reversal of 141384345264 is 462543483141.

141384345264 is a `hidden beast` number, since 1 + 4 + 1 + 384 + 3 + 4 + 5 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3186582 + ... + 3230645.

Almost surely, 2141384345264 is an apocalyptic number.

It is an amenable number.

141384345264 is an abundant number, since it is smaller than the sum of its proper divisors (291894054840).

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

141384345264 is a wasteful number, since it uses less digits than its factorization.

141384345264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417264 (or 6417249 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 141384345264 in words is "one hundred forty-one billion, three hundred eighty-four million, three hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 6417227 12834454 19251681 25668908 38503362 51337816 57755043 77006724 102675632 109092859 115510086 154013448 173265129 218185718 231020172 308026896 327278577 346530258 436371436 462040344 519795387 654557154 693060516 872742872 924080688 981835731 1039590774 1309114308 1386121032 1745485744 1963671462 2079181548 2618228616 2772242064 2945507193 3927342924 4158363096 5236457232 5891014386 7854685848 8316726192 8836521579 11782028772 15709371696 17673043158 23564057544 35346086316 47128115088 70692172632 141384345264