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12423203040 = 253556345971
BaseRepresentation
bin10111001000111101…
…10000100011100000
31012001210110002210010
423210132300203200
5200420314444130
65412424204520
7616600324563
oct134436604340
935053402703
1012423203040
1152a5635356
1224a8609740
13122ca3b421
1485bd024da
154ca9b90b0
hex2e47b08e0

12423203040 has 96 divisors (see below), whose sum is σ = 39203450496. Its totient is φ = 3306897920.

The previous prime is 12423203011. The next prime is 12423203069. The reversal of 12423203040 is 4030232421.

It is an interprime number because it is at equal distance from previous prime (12423203011) and next prime (12423203069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12423202998 and 12423203016.

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, 247255 + ... + 293225.

It is an arithmetic number, because the mean of its divisors is an integer number (408369276).

Almost surely, 212423203040 is an apocalyptic number.

12423203040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601725248).

12423203040 is an abundant number, since it is smaller than the sum of its proper divisors (26780247456).

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

12423203040 is a wasteful number, since it uses less digits than its factorization.

12423203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46552 (or 46544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12423203040 its reverse (4030232421), we get a palindrome (16453435461).

The spelling of 12423203040 in words is "twelve billion, four hundred twenty-three million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 563 1126 1689 2252 2815 3378 4504 5630 6756 8445 9008 11260 13512 16890 18016 22520 27024 33780 45040 45971 54048 67560 90080 91942 135120 137913 183884 229855 270240 275826 367768 459710 551652 689565 735536 919420 1103304 1379130 1471072 1838840 2206608 2758260 3677680 4413216 5516520 7355360 11033040 22066080 25881673 51763346 77645019 103526692 129408365 155290038 207053384 258816730 310580076 388225095 414106768 517633460 621160152 776450190 828213536 1035266920 1242320304 1552900380 2070533840 2484640608 3105800760 4141067680 6211601520 12423203040