Search a number
-
+
40441213231440 = 2435725195904983
BaseRepresentation
bin10010011000111111101000…
…01001100010000101010000
312022012010211200110110110120
421030133310021202011100
520300042101041401230
6222002234211030240
711342531651452320
oct1114376411420520
9168163750413416
1040441213231440
111198202762921a
12465194059b380
131974789433188
149db518021280
154a1e7e89d310
hex24c7f4262150

40441213231440 has 160 divisors (see below), whose sum is σ = 143848269121536. Its totient is φ = 9206878272000.

The previous prime is 40441213231429. The next prime is 40441213231451. The reversal of 40441213231440 is 4413231214404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40441213231429) and next prime (40441213231451).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47530812 + ... + 48374171.

Almost surely, 240441213231440 is an apocalyptic number.

40441213231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40441213231440 is an abundant number, since it is smaller than the sum of its proper divisors (103407055890096).

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

40441213231440 is a wasteful number, since it uses less digits than its factorization.

40441213231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95905257 (or 95905251 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 40441213231440 its reverse (4413231214404), we get a palindrome (44854444445844).

The spelling of 40441213231440 in words is "forty trillion, four hundred forty-one billion, two hundred thirteen million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 251 280 336 420 502 560 753 840 1004 1255 1506 1680 1757 2008 2510 3012 3514 3765 4016 5020 5271 6024 7028 7530 8785 10040 10542 12048 14056 15060 17570 20080 21084 26355 28112 30120 35140 42168 52710 60240 70280 84336 105420 140560 210840 421680 95904983 191809966 287714949 383619932 479524915 575429898 671334881 767239864 959049830 1150859796 1342669762 1438574745 1534479728 1918099660 2014004643 2301719592 2685339524 2877149490 3356674405 3836199320 4028009286 4603439184 5370679048 5754298980 6713348810 7672398640 8056018572 10070023215 10741358096 11508597960 13426697620 16112037144 20140046430 23017195920 24072150733 26853395240 32224074288 40280092860 48144301466 53706790480 72216452199 80560185720 96288602932 120360753665 144432904398 161120371440 168505055131 192577205864 240721507330 288865808796 337010110262 361082260995 385154411728 481443014660 505515165393 577731617592 674020220524 722164521990 842525275655 962886029320 1011030330786 1155463235184 1348040441048 1444329043980 1685050551310 1925772058640 2022060661572 2527575826965 2696080882096 2888658087960 3370101102620 4044121323144 5055151653930 5777316175920 6740202205240 8088242646288 10110303307860 13480404410480 20220606615720 40441213231440