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2857000374144 = 27337118096907
BaseRepresentation
bin101001100100110010011…
…111100000111110000000
3101010010102021020121121000
4221210302133200332000
5333302114043433034
610024253213132000
7413261063330640
oct51446237407600
911103367217530
102857000374144
11a01713258304
123a185778a000
1317954c687a87
149c3cb15c520
154e4b5504599
hex299327e0f80

2857000374144 has 128 divisors (see below), whose sum is σ = 9636707692800. Its totient is φ = 816285814272.

The previous prime is 2857000374139. The next prime is 2857000374157. The reversal of 2857000374144 is 4414730007582.

2857000374144 is a `hidden beast` number, since 2 + 8 + 570 + 0 + 0 + 3 + 74 + 1 + 4 + 4 = 666.

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

It is a super-3 number, since 3×28570003741443 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2857000374144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59024262 + ... + 59072645.

It is an arithmetic number, because the mean of its divisors is an integer number (75286778850).

Almost surely, 22857000374144 is an apocalyptic number.

2857000374144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2857000374144 is an abundant number, since it is smaller than the sum of its proper divisors (6779707318656).

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

2857000374144 is a wasteful number, since it uses less digits than its factorization.

2857000374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118096937 (or 118096919 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2857000374144 in words is "two trillion, eight hundred fifty-seven billion, three hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 118096907 236193814 354290721 472387628 708581442 826678349 944775256 1062872163 1417162884 1653356698 1889550512 2125744326 2480035047 2834325768 3188616489 3306713396 3779101024 4251488652 4960070094 5668651536 6377232978 6613426792 7440105141 7558202048 8502977304 9920140188 11337303072 12754465956 13226853584 14880210282 15116404096 17005954608 19840280376 22320315423 22674606144 25508931912 26453707168 29760420564 34011909216 39680560752 44640630846 45349212288 51017863824 52907414336 59520841128 68023818432 79361121504 89281261692 102035727648 105814828672 119041682256 136047636864 158722243008 178562523384 204071455296 238083364512 317444486016 357125046768 408142910592 476166729024 714250093536 952333458048 1428500187072 2857000374144