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40311101343040 = 2651131369419917
BaseRepresentation
bin10010010101001101010001…
…11000000100010101000000
312021201200222221222200210221
421022212220320010111000
520240424113420434130
6221422355253432424
711330244445606603
oct1112465070042500
9167650887880727
1040311101343040
1111931929888740
12463068a33b714
1319654223148b8
149d50d3b4c33a
1549d8b6cd787a
hex24a9a8e04540

40311101343040 has 112 divisors (see below), whose sum is σ = 108095223366144. Its totient is φ = 14185724774400.

The previous prime is 40311101343031. The next prime is 40311101343043. The reversal of 40311101343040 is 4034310111304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40311101342996 and 40311101343014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40311101343043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184600839 + ... + 184819078.

It is an arithmetic number, because the mean of its divisors is an integer number (965135922912).

Almost surely, 240311101343040 is an apocalyptic number.

40311101343040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40311101343040 is an abundant number, since it is smaller than the sum of its proper divisors (67784122023104).

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

40311101343040 is a wasteful number, since it uses less digits than its factorization.

40311101343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369419976 (or 369419966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 40311101343040 its reverse (4034310111304), we get a palindrome (44345411454344).

The spelling of 40311101343040 in words is "forty trillion, three hundred eleven billion, one hundred one million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 992 1240 1364 1705 1760 1984 2480 2728 3410 3520 4960 5456 6820 9920 10912 13640 21824 27280 54560 109120 369419917 738839834 1477679668 1847099585 2955359336 3694199170 4063619087 5910718672 7388398340 8127238174 11452017427 11821437344 14776796680 16254476348 20318095435 22904034854 23642874688 29553593360 32508952696 40636190870 45808069708 57260087135 59107186720 65017905392 81272381740 91616139416 114520174270 118214373440 125972191697 130035810784 162544763480 183232278832 229040348540 251944383394 260071621568 325089526960 366464557664 458080697080 503888766788 629860958485 650179053920 732929115328 916161394160 1007777533576 1259721916970 1300358107840 1832322788320 2015555067152 2519443833940 3664645576640 4031110134304 5038887667880 8062220268608 10077775335760 20155550671520 40311101343040