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124234343505104 = 2476729535606417
BaseRepresentation
bin11100001111110110001111…
…111010011101110011010000
3121021212200120000010020121112
4130033312033322131303100
5112240423413414130404
61120120245225312452
735111430563133320
oct3417661772356320
9537780500106545
10124234343505104
1136648542142748
1211b25546335728
13544232c74bc11
142296d8d709280
15e56948b8856e
hex70fd8fe9dcd0

124234343505104 has 80 divisors (see below), whose sum is σ = 279290754331008. Its totient is φ = 52430843621376.

The previous prime is 124234343505053. The next prime is 124234343505119. The reversal of 124234343505104 is 401505343432421.

It is a super-2 number, since 2×1242343435051042 (a number of 29 digits) contains 22 as substring.

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, 19356104 + ... + 24962520.

Almost surely, 2124234343505104 is an apocalyptic number.

124234343505104 is a gapful number since it is divisible by the number (14) 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 124234343505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139645377165504).

124234343505104 is an abundant number, since it is smaller than the sum of its proper divisors (155056410825904).

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

124234343505104 is a wasteful number, since it uses less digits than its factorization.

124234343505104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609452 (or 5609446 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 124234343505104 its reverse (401505343432421), we get a palindrome (525739686937525).

The spelling of 124234343505104 in words is "one hundred twenty-four trillion, two hundred thirty-four billion, three hundred forty-three million, five hundred five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 2953 3752 5906 7504 11812 20671 23624 41342 47248 82684 165368 197851 330736 395702 791404 1384957 1582808 2769914 3165616 5539828 5606417 11079656 11212834 22159312 22425668 39244919 44851336 78489838 89702672 156979676 313959352 375629939 627918704 751259878 1502519756 2629409573 3005039512 5258819146 6010079024 10517638292 16555749401 21035276584 33111498802 42070553168 66222997604 115890245807 132445995208 231780491614 264891990416 463560983228 927121966456 1109235209867 1854243932912 2218470419734 4436940839468 7764646469069 8873881678936 15529292938138 17747763357872 31058585876276 62117171752552 124234343505104