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123414420040 = 23515120432851
BaseRepresentation
bin111001011110000010…
…0101001101001001000
3102210112222000010020221
41302330010221221020
54010223042420130
6132410143155424
711626216155532
oct1627404515110
9383488003227
10123414420040
114838124a46a
121bb032a5b74
13b83a6bb862
145d8a9c8852
153324b0a87a
hex1cbc129a48

123414420040 has 32 divisors (see below), whose sum is σ = 279521415360. Its totient is φ = 49038840000.

The previous prime is 123414420037. The next prime is 123414420043. The reversal of 123414420040 is 40024414321.

It is an interprime number because it is at equal distance from previous prime (123414420037) and next prime (123414420043).

It is a super-2 number, since 2×1234144200402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123414419987 and 123414420014.

It is not an unprimeable number, because it can be changed into a prime (123414420043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10210386 + ... + 10222465.

It is an arithmetic number, because the mean of its divisors is an integer number (8735044230).

Almost surely, 2123414420040 is an apocalyptic number.

123414420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123414420040 is an abundant number, since it is smaller than the sum of its proper divisors (156106995320).

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

123414420040 is a wasteful number, since it uses less digits than its factorization.

123414420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20433013 (or 20433009 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 123414420040 its reverse (40024414321), we get a palindrome (163438834361).

The spelling of 123414420040 in words is "one hundred twenty-three billion, four hundred fourteen million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 20432851 40865702 81731404 102164255 163462808 204328510 408657020 817314040 3085360501 6170721002 12341442004 15426802505 24682884008 30853605010 61707210020 123414420040