Search a number
-
+
40131736318322 = 2111710782910511151
BaseRepresentation
bin10010001111111111001011…
…11000110011000101110010
312021002120000201001100220022
421013333211320303011302
520230004243444141242
6221204133134443442
711311264560215435
oct1107774570630562
9167076021040808
1040131736318322
1111872856a12920
124601971363582
1319515390c368c
149ca55a40181c
15498dba20a0d2
hex247fe5e33172

40131736318322 has 128 divisors (see below), whose sum is σ = 70395528314880. Its totient is φ = 16956777600000.

The previous prime is 40131736318321. The next prime is 40131736318361. The reversal of 40131736318322 is 22381363713104.

It is a super-2 number, since 2×401317363183222 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131736318321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34866842447 + ... + 34866843597.

It is an arithmetic number, because the mean of its divisors is an integer number (549965064960).

Almost surely, 240131736318322 is an apocalyptic number.

40131736318322 is a deficient number, since it is larger than the sum of its proper divisors (30263791996558).

40131736318322 is a wasteful number, since it uses less digits than its factorization.

40131736318322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 40131736318322 in words is "forty trillion, one hundred thirty-one billion, seven hundred thirty-six million, three hundred eighteen thousand, three hundred twenty-two".

Divisors: 1 2 11 17 22 34 107 187 214 374 829 1051 1151 1177 1658 1819 2102 2302 2354 3638 9119 11561 12661 14093 17867 18238 19567 20009 23122 25322 28186 35734 39134 40018 88703 112457 123157 155023 177406 196537 215237 224914 246314 310046 393074 430474 871279 954179 975733 1209701 1237027 1354727 1507951 1742558 1908358 1911769 1951466 2093669 2419402 2474054 2709454 3015902 3823538 4187338 9584069 10495969 13306711 14811743 16221043 16587461 19168138 20564917 20991938 21029459 23030359 26613422 29623486 32442086 33174922 41129834 42058918 46060718 93226853 102097153 129438007 162929173 178431473 186453706 204194306 226214087 258876014 325858346 356862946 452428174 1002842129 1025495383 1123068683 1423818077 1584856501 1735651601 2005684258 2050990766 2200446119 2246137366 2847636154 3169713002 3471303202 4400892238 11031263419 17048316193 17433421511 19092167611 22062526838 24204907309 34096632386 34866843022 38184335222 48409814618 107304107803 187531478123 214608215606 375062956246 1180345185833 1824169832651 2360690371666 3648339665302 20065868159161 40131736318322