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141699017684864 = 2729372234626497
BaseRepresentation
bin100000001101111111011111…
…100111010011011110000000
3200120201021221011202120210002
4200031333133213103132000
5122033044042011403424
61221211344032255132
741563262516235113
oct4015773747233600
9616637834676702
10141699017684864
1141171241440942
1213a862763a14a8
13610b21078b6c3
1426dc3aa3b257a
15115adb396dcae
hex80dfdf9d3780

141699017684864 has 128 divisors (see below), whose sum is σ = 301262744966400. Its totient is φ = 66259121209344.

The previous prime is 141699017684857. The next prime is 141699017684891. The reversal of 141699017684864 is 468486710996141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1416990176848642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a junction number, because it is equal to n+sod(n) for n = 141699017684791 and 141699017684800.

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, 28314464 + ... + 32940960.

It is an arithmetic number, because the mean of its divisors is an integer number (2353615195050).

Almost surely, 2141699017684864 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 141699017684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150631372483200).

141699017684864 is an abundant number, since it is smaller than the sum of its proper divisors (159563727281536).

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

141699017684864 is a wasteful number, since it uses less digits than its factorization.

141699017684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626800 (or 4626788 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 74.

The spelling of 141699017684864 in words is "one hundred forty-one trillion, six hundred ninety-nine billion, seventeen million, six hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 223 232 296 446 464 592 892 928 1073 1184 1784 1856 2146 2368 3568 3712 4292 4736 6467 7136 8251 8584 12934 14272 16502 17168 25868 28544 33004 34336 51736 66008 68672 103472 132016 137344 206944 239279 264032 413888 478558 528064 827776 957116 1056128 1914232 3828464 4626497 7656928 9252994 15313856 18505988 30627712 37011976 74023952 134168413 148047904 171180389 268336826 296095808 342360778 536673652 592191616 684721556 1031708831 1073347304 1369443112 2063417662 2146694608 2738886224 4126835324 4293389216 4964231281 5477772448 8253670648 8586778432 9928462562 10955544896 16507341296 17173556864 19856925124 21911089792 29919556099 33014682592 38173226747 39713850248 59839112198 66029365184 76346453494 79427700496 119678224396 132058730368 152692906988 158855400992 239356448792 305385813976 317710801984 478712897584 610771627952 635421603968 957425795168 1107023575663 1221543255904 1914851590336 2214047151326 2443086511808 3829703180672 4428094302652 4886173023616 8856188605304 17712377210608 35424754421216 70849508842432 141699017684864