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214040131410 = 235723411080847
BaseRepresentation
bin1100011101010111001…
…0010011011101010010
3202110110211021021000110
43013111302103131102
512001323233201120
6242154554502150
721315054045510
oct3072562233522
9673424237013
10214040131410
118285708a796
1235595734956
131725103c641
14a506a434b0
15587ad832e0
hex31d5c93752

214040131410 has 128 divisors (see below), whose sum is σ = 627548995584. Its totient is φ = 45654935040.

The previous prime is 214040131399. The next prime is 214040131447. The reversal of 214040131410 is 14131040412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342394 + ... + 738453.

It is an arithmetic number, because the mean of its divisors is an integer number (4902726528).

Almost surely, 2214040131410 is an apocalyptic number.

214040131410 is an abundant number, since it is smaller than the sum of its proper divisors (413508864174).

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

214040131410 is a wasteful number, since it uses less digits than its factorization.

214040131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080928.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 214040131410 its reverse (14131040412), we get a palindrome (228171171822).

The spelling of 214040131410 in words is "two hundred fourteen billion, forty million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 41 42 46 69 70 82 105 115 123 138 161 205 210 230 246 287 322 345 410 483 574 615 690 805 861 943 966 1230 1435 1610 1722 1886 2415 2829 2870 4305 4715 4830 5658 6601 8610 9430 13202 14145 19803 28290 33005 39606 66010 99015 198030 1080847 2161694 3242541 5404235 6485082 7565929 10808470 15131858 16212705 22697787 24859481 32425410 37829645 44314727 45395574 49718962 74578443 75659290 88629454 113488935 124297405 132944181 149156886 174016367 221573635 226977870 248594810 265888362 310203089 348032734 372892215 443147270 522049101 620406178 664720905 745784430 870081835 930609267 1019238721 1044098202 1329441810 1551015445 1740163670 1861218534 2038477442 2610245505 3057716163 3102030890 4653046335 5096193605 5220491010 6115432326 7134671047 9306092670 10192387210 14269342094 15288580815 21404013141 30577161630 35673355235 42808026282 71346710470 107020065705 214040131410