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40224021142344 = 23313887145347401
BaseRepresentation
bin10010010010101011000100…
…11111011101101101001000
312021102101020012020011100120
421021111202133131231020
520233012243403023334
6221314354334503240
711321042512245504
oct1111254237355510
9167371205204316
1040224021142344
11118a8a0332a026
124617827364b20
13195a1553a6320
149d0bd293b304
1549b4bbe5b949
hex2495627ddb48

40224021142344 has 64 divisors (see below), whose sum is σ = 108417534099840. Its totient is φ = 12362668454400.

The previous prime is 40224021142309. The next prime is 40224021142369. The reversal of 40224021142344 is 44324112042204.

40224021142344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402240211423442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72396957 + ... + 72950444.

It is an arithmetic number, because the mean of its divisors is an integer number (1694023970310).

Almost surely, 240224021142344 is an apocalyptic number.

It is an amenable number.

40224021142344 is an abundant number, since it is smaller than the sum of its proper divisors (68193512957496).

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

40224021142344 is a wasteful number, since it uses less digits than its factorization.

40224021142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145348310 (or 145348306 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 40224021142344 its reverse (44324112042204), we get a palindrome (84548133184548).

The spelling of 40224021142344 in words is "forty trillion, two hundred twenty-four billion, twenty-one million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 887 1774 2661 3548 5322 7096 10644 11531 21288 23062 34593 46124 69186 92248 138372 276744 145347401 290694802 436042203 581389604 872084406 1162779208 1744168812 1889516213 3488337624 3779032426 5668548639 7558064852 11337097278 15116129704 22674194556 45348389112 128923144687 257846289374 386769434061 515692578748 773538868122 1031385157496 1547077736244 1676000880931 3094155472488 3352001761862 5028002642793 6704003523724 10056005285586 13408007047448 20112010571172 40224021142344