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124420034214 = 232717263220859
BaseRepresentation
bin111001111100000000…
…0110000111010100110
3102220011001020121120100
41303320000300322212
54014303012043324
6133054025044530
711663146561350
oct1637000607246
9386131217510
10124420034214
1148847958263
1220144026746
13b96ab43228
1460443980d0
15338304a4c9
hex1cf8030ea6

124420034214 has 96 divisors (see below), whose sum is σ = 327452336640. Its totient is φ = 33330122496.

The previous prime is 124420034213. The next prime is 124420034269. The reversal of 124420034214 is 412430024421.

124420034214 is a `hidden beast` number, since 1 + 2 + 442 + 0 + 0 + 3 + 4 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124420034213) 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 47 ways as a sum of consecutive naturals, for example, 452917 + ... + 673775.

It is an arithmetic number, because the mean of its divisors is an integer number (3410961840).

Almost surely, 2124420034214 is an apocalyptic number.

124420034214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124420034214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163726168320).

124420034214 is an abundant number, since it is smaller than the sum of its proper divisors (203032302426).

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

124420034214 is a wasteful number, since it uses less digits than its factorization.

124420034214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221154 (or 221151 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 124420034214 its reverse (412430024421), we get a palindrome (536850058635).

The spelling of 124420034214 in words is "one hundred twenty-four billion, four hundred twenty million, thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 263 306 357 526 714 789 1071 1578 1841 2142 2367 3682 4471 4734 5523 8942 11046 13413 16569 26826 31297 33138 40239 62594 80478 93891 187782 220859 281673 441718 563346 662577 1325154 1546013 1987731 3092026 3754603 3975462 4638039 7509206 9276078 11263809 13914117 22527618 26282221 27828234 33791427 52564442 58085917 67582854 78846663 116171834 157693326 174257751 236539989 348515502 406601419 473079978 522773253 813202838 987460589 1045546506 1219804257 1974921178 2439608514 2962381767 3659412771 5924763534 6912224123 7318825542 8887145301 13824448246 17774290602 20736672369 41473344738 62210017107 124420034214