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123422241040 = 24571087202757
BaseRepresentation
bin111001011110010001…
…0011111000100010000
3102210120111201110122121
41302330202133010100
54010232043203130
6132411022544024
711626342511350
oct1627442370420
9383514643577
10123422241040
11483857014aa
121bb05a38014
13b83c1c9677
145d8ba62b60
153325652d7a
hex1cbc89f110

123422241040 has 80 divisors (see below), whose sum is σ = 328253847552. Its totient is φ = 42277059072.

The previous prime is 123422240959. The next prime is 123422241043. The reversal of 123422241040 is 40142224321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 123422240996 and 123422241014.

It is not an unprimeable number, because it can be changed into a prime (123422241043) by changing a digit.

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, 507342 + ... + 710098.

Almost surely, 2123422241040 is an apocalyptic number.

123422241040 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 123422241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164126923776).

123422241040 is an abundant number, since it is smaller than the sum of its proper divisors (204831606512).

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

123422241040 is a wasteful number, since it uses less digits than its factorization.

123422241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203864 (or 203858 counting only the distinct ones).

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

Adding to 123422241040 its reverse (40142224321), we get a palindrome (163564465361).

The spelling of 123422241040 in words is "one hundred twenty-three billion, four hundred twenty-two million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1087 2174 4348 5435 7609 8696 10870 15218 17392 21740 30436 38045 43480 60872 76090 86960 121744 152180 202757 304360 405514 608720 811028 1013785 1419299 1622056 2027570 2838598 3244112 4055140 5677196 7096495 8110280 11354392 14192990 16220560 22708784 28385980 56771960 113543920 220396859 440793718 881587436 1101984295 1542778013 1763174872 2203968590 3085556026 3526349744 4407937180 6171112052 7713890065 8815874360 12342224104 15427780130 17631748720 24684448208 30855560260 61711120520 123422241040