Search a number
-
+
123934122816 = 2637739312473
BaseRepresentation
bin111001101101100001…
…1001010001101000000
3102211220011220202102220
41303123003022031000
54012304113412231
6132533510211040
711645126443140
oct1633303121500
9384804822386
10123934122816
1148618643899
1220029353a80
13b8c12819aa
145dd9a2c920
153355566896
hex1cdb0ca340

123934122816 has 112 divisors (see below), whose sum is σ = 374833920384. Its totient is φ = 35402121216.

The previous prime is 123934122787. The next prime is 123934122841. The reversal of 123934122816 is 618221439321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9929956 + ... + 9942428.

It is an arithmetic number, because the mean of its divisors is an integer number (3346731432).

Almost surely, 2123934122816 is an apocalyptic number.

123934122816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123934122816 is an abundant number, since it is smaller than the sum of its proper divisors (250899797568).

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

123934122816 is a wasteful number, since it uses less digits than its factorization.

123934122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19888 (or 19878 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The spelling of 123934122816 in words is "one hundred twenty-three billion, nine hundred thirty-four million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7393 12473 14786 22179 24946 29572 37419 44358 49892 51751 59144 74838 87311 88716 99784 103502 118288 149676 155253 174622 177432 199568 207004 236576 261933 299352 310506 349244 354864 399136 414008 473152 523866 598704 621012 698488 709728 798272 828016 1047732 1197408 1242024 1396976 1419456 1656032 2095464 2394816 2484048 2793952 3312064 4190928 4968096 5587904 8381856 9936192 16763712 92212889 184425778 276638667 368851556 553277334 645490223 737703112 1106554668 1290980446 1475406224 1936470669 2213109336 2581960892 2950812448 3872941338 4426218672 5163921784 5901624896 7745882676 8852437344 10327843568 15491765352 17704874688 20655687136 30983530704 41311374272 61967061408 123934122816