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124005451341424 = 24295322732218439
BaseRepresentation
bin11100001100100001000100…
…111000001001111001110000
3121021001210202010010120110211
4130030201010320021321300
5112223201131020411144
61115423152400033504
735056045453632052
oct3414410470117160
9537053663116424
10124005451341424
113656a464515324
1211aa9106902894
135426882730403
142289c7839b8d2
15e509edebd034
hex70c844e09e70

124005451341424 has 80 divisors (see below), whose sum is σ = 253346469163200. Its totient is φ = 58709311152128.

The previous prime is 124005451341419. The next prime is 124005451341427. The reversal of 124005451341424 is 424143154500421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124005451341427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54788397 + ... + 57006835.

It is an arithmetic number, because the mean of its divisors is an integer number (3166830864540).

Almost surely, 2124005451341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124005451341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126673234581600).

124005451341424 is an abundant number, since it is smaller than the sum of its proper divisors (129341017821776).

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

124005451341424 is a wasteful number, since it uses less digits than its factorization.

124005451341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220802 (or 2220796 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 124005451341424 in words is "one hundred twenty-four trillion, five billion, four hundred fifty-one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 2273 3074 4546 6148 9092 12296 18184 24592 36368 65917 120469 131834 240938 263668 481876 527336 963752 1054672 1927504 2218439 3493601 4436878 6987202 8873756 13974404 17747512 27948808 35495024 55897616 64334731 117577267 128669462 235154534 257338924 470309068 514677848 940618136 1029355696 1881236272 3409740743 5042511847 6819481486 10085023694 13638962972 20170047388 27277925944 40340094776 54555851888 80680189552 146232843563 267253127891 292465687126 534506255782 584931374252 1069012511564 1169862748504 2138025023128 2339725497008 4276050046256 7750340708839 15500681417678 31001362835356 62002725670712 124005451341424