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123450401440 = 2551745386177
BaseRepresentation
bin111001011111000110…
…1111010001010100000
3102210122110201011110101
41302332031322022200
54010311300321230
6132413510312144
711630134045552
oct1627615721240
9383573634411
10123450401440
114839a595863
121bb13358654
13b844ca9222
145d916b34d2
153327d66aca
hex1cbe37a2a0

123450401440 has 48 divisors (see below), whose sum is σ = 308807555112. Its totient is φ = 46475444224.

The previous prime is 123450401419. The next prime is 123450401471. The reversal of 123450401440 is 44104054321.

It can be written as a sum of positive squares in 4 ways, for example, as 117399428496 + 6050972944 = 342636^2 + 77788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123450401399 and 123450401408.

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 7 ways as a sum of consecutive naturals, for example, 22690369 + ... + 22695808.

Almost surely, 2123450401440 is an apocalyptic number.

123450401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123450401440 is an abundant number, since it is smaller than the sum of its proper divisors (185357153672).

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

123450401440 is a wasteful number, since it uses less digits than its factorization.

123450401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45386209 (or 45386201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 123450401440 its reverse (44104054321), we get a palindrome (167554455761).

The spelling of 123450401440 in words is "one hundred twenty-three billion, four hundred fifty million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 45386177 90772354 181544708 226930885 363089416 453861770 726178832 771565009 907723540 1452357664 1543130018 1815447080 3086260036 3630894160 3857825045 6172520072 7261788320 7715650090 12345040144 15431300180 24690080288 30862600360 61725200720 123450401440