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123890191040 = 2657115028011
BaseRepresentation
bin111001101100001101…
…1100100101011000000
3102211210010020210101002
41303120123210223000
54012211342103130
6132525300431132
711644054151150
oct1633033445300
9384703223332
10123890191040
11485a5868240
12200166a84a8
13b8b513c665
145dd3c74760
153351789b45
hex1cd86e4ac0

123890191040 has 112 divisors (see below), whose sum is σ = 367809133824. Its totient is φ = 38615116800.

The previous prime is 123890191031. The next prime is 123890191147. The reversal of 123890191040 is 40191098321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123890190985 and 123890191003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489366 + ... + 2538645.

Almost surely, 2123890191040 is an apocalyptic number.

123890191040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123890191040 is an abundant number, since it is smaller than the sum of its proper divisors (243918942784).

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

123890191040 is a wasteful number, since it uses less digits than its factorization.

123890191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028046 (or 5028036 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 123890191040 in words is "one hundred twenty-three billion, eight hundred ninety million, one hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 5028011 10056022 20112044 25140055 35196077 40224088 50280110 55308121 70392154 80448176 100560220 110616242 140784308 160896352 175980385 201120440 221232484 276540605 281568616 321792704 351960770 387156847 402240880 442464968 553081210 563137232 703921540 774313694 804481760 884929936 1106162420 1126274464 1407843080 1548627388 1608963520 1769859872 1935784235 2212324840 2252548928 2815686160 3097254776 3539719744 3871568470 4424649680 5631372320 6194509552 7743136940 8849299360 11262744640 12389019104 15486273880 17698598720 24778038208 30972547760 61945095520 123890191040