Search a number
-
+
104042114314004 = 221729412131239587
BaseRepresentation
bin10111101010000000110001…
…010000111110111100010100
3111122101022212211112001021102
4113222000301100332330110
5102114111222231022004
61005140142032405232
730625536404001056
oct2752006120767424
9448338784461242
10104042114314004
1130173016181229
12b8040856a6818
13460918b0540b9
141b999454538d6
15c06592ba511e
hex5ea03143ef14

104042114314004 has 144 divisors (see below), whose sum is σ = 205975739471040. Its totient is φ = 45767442739200.

The previous prime is 104042114313971. The next prime is 104042114314043. The reversal of 104042114314004 is 400413411240401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434136299 + ... + 434375885.

It is an arithmetic number, because the mean of its divisors is an integer number (1430387079660).

Almost surely, 2104042114314004 is an apocalyptic number.

It is an amenable number.

104042114314004 is a deficient number, since it is larger than the sum of its proper divisors (101933625157036).

104042114314004 is a wasteful number, since it uses less digits than its factorization.

104042114314004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239850 (or 239807 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 104042114314004 its reverse (400413411240401), we get a palindrome (504455525554405).

The spelling of 104042114314004 in words is "one hundred four trillion, forty-two billion, one hundred fourteen million, three hundred fourteen thousand, four".

Divisors: 1 2 4 17 29 34 41 58 68 82 116 131 164 262 493 524 697 986 1189 1394 1681 1972 2227 2378 2788 3362 3799 4454 4756 5371 6724 7598 8908 10742 15196 20213 21484 28577 40426 48749 57154 64583 80852 91307 97498 114308 129166 155759 182614 194996 220211 239587 258332 311518 365228 440422 479174 623036 828733 880844 958348 1657466 2647903 3314932 3743587 4072979 5295806 6386119 6948023 7487174 8145958 9823067 10591612 12772238 13896046 14974348 16291916 19646134 25544476 27792092 31385897 39292268 62771794 108564023 118116391 125543588 166992139 217128046 236232782 284868943 333984278 402745747 434256092 472465564 533560249 569737886 667968556 805491494 910191013 1067120498 1139475772 1286821777 1610982988 1820382026 2134240996 2573643554 3640764052 4842772031 5147287108 6846677699 9685544062 11679626663 13693355398 15473247221 19371088124 21875970209 23359253326 27386710796 30946494442 37317831533 43751940418 46718506652 52759692857 61892988884 74635663066 87503880836 105519385714 149271326132 198553653271 211038771428 397107306542 634403136061 794214613084 896914778569 1268806272122 1530031092853 1793829557138 2537612544244 3060062185706 3587659114276 6120124371412 26010528578501 52021057157002 104042114314004