Search a number
-
+
124410414323412 = 2232723185531156949
BaseRepresentation
bin11100010010011010001110…
…100011010101011011010100
3121022111112000200102112212100
4130102122032203111123110
5112301320012031322122
61120333204430122100
735130233021322240
oct3422321643253324
9538445020375770
10124410414323412
1136706184570528
1211b536a4050330
135455b0c338b89
1422a16d3747420
15e5b301459aac
hex71268e8d56d4

124410414323412 has 144 divisors (see below), whose sum is σ = 375054830841600. Its totient is φ = 33998499684864.

The previous prime is 124410414323387. The next prime is 124410414323509. The reversal of 124410414323412 is 214323414014421.

124410414323412 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 1 + 0 + 414 + 3 + 234 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106954714 + ... + 108111662.

It is an arithmetic number, because the mean of its divisors is an integer number (2604547436400).

Almost surely, 2124410414323412 is an apocalyptic number.

124410414323412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124410414323412 is an abundant number, since it is smaller than the sum of its proper divisors (250644416518188).

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

124410414323412 is a wasteful number, since it uses less digits than its factorization.

124410414323412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175542 (or 1175537 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 124410414323412 its reverse (214323414014421), we get a palindrome (338733828337833).

The spelling of 124410414323412 in words is "one hundred twenty-four trillion, four hundred ten billion, four hundred fourteen million, three hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 18553 37106 55659 74212 111318 129871 166977 222636 259742 333954 389613 426719 519484 667908 779226 853438 1156949 1168839 1280157 1558452 1706876 2313898 2337678 2560314 2987033 3470847 3840471 4627796 4675356 5120628 5974066 6941694 7680942 8098643 8961099 10412541 11948132 13883388 15361884 16197286 17922198 20825082 24295929 26609827 26883297 32394572 35844396 41650164 48591858 53219654 53766594 72887787 79829481 97183716 106439308 107533188 145775574 159658962 186268789 239488443 291551148 319317924 372537578 478976886 558806367 745075156 957953772 1117612734 1676419101 2235225468 3352838202 6705676404 21464874797 42929749594 64394624391 85859499188 128789248782 150254123579 193183873173 257578497564 300508247158 386367746346 450762370737 493692120331 601016494316 772735492692 901524741474 987384240662 1352287112211 1481076360993 1803049482948 1974768481324 2704574224422 2962152721986 3455844842317 4443229082979 5409148448844 5924305443972 6911689684634 8886458165958 10367534526951 13823379369268 17772916331916 20735069053902 31102603580853 41470138107804 62205207161706 124410414323412