Search a number
-
+
40311244112440 = 23573723893162853
BaseRepresentation
bin10010010101001101100010…
…11000101100001000111000
312021201201100220122010121111
421022212301120230020320
520240424411443044230
6221422421353450104
711330251131253120
oct1112466130541070
9167651326563544
1040311244112440
11119319a2431484
12463070a110934
131965445a81632
149d5108ab3c80
1549d8c45d992a
hex24a9b162c238

40311244112440 has 128 divisors (see below), whose sum is σ = 106464147903360. Its totient is φ = 13446812104704.

The previous prime is 40311244112413. The next prime is 40311244112471. The reversal of 40311244112440 is 4421144211304.

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, 247450054 + ... + 247612906.

It is an arithmetic number, because the mean of its divisors is an integer number (831751155495).

Almost surely, 240311244112440 is an apocalyptic number.

40311244112440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40311244112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53232073951680).

40311244112440 is an abundant number, since it is smaller than the sum of its proper divisors (66152903790920).

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

40311244112440 is a wasteful number, since it uses less digits than its factorization.

40311244112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186801 (or 186797 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 40311244112440 its reverse (4421144211304), we get a palindrome (44732388323744).

The spelling of 40311244112440 in words is "forty trillion, three hundred eleven billion, two hundred forty-four million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 23893 47786 95572 119465 162853 167251 191144 238930 325706 334502 477860 651412 669004 814265 836255 884041 955720 1139971 1302824 1338008 1628530 1672510 1768082 2279942 3257060 3345020 3536164 4420205 4559884 5699855 6025561 6188287 6514120 6690040 7072328 8840410 9119768 11399710 12051122 12376574 17680820 22799420 24102244 24753148 30127805 30941435 35361640 42178927 45598840 48204488 49506296 60255610 61882870 84357854 120511220 123765740 168715708 210894635 241022440 247531480 337431416 421789270 843578540 1687157080 3891046729 7782093458 15564186916 19455233645 27237327103 31128373832 38910467290 54474654206 77820934580 108949308412 136186635515 143968728973 155641869160 217898616824 272373271030 287937457946 544746542060 575874915892 719843644865 1007781102811 1089493084120 1151749831784 1439687289730 2015562205622 2879374579460 4031124411244 5038905514055 5758749158920 8062248822488 10077811028110 20155622056220 40311244112440