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40144242340 = 225171923112689
BaseRepresentation
bin100101011000110010…
…001000011010100100
310211121201110210210101
4211120302020122210
51124203411223330
630235250233444
72620545300256
oct453062103244
9124551423711
1040144242340
1116030418494
127944285884
133a29c16867
141d2b7d7cd6
15109e4ca4ca
hex958c886a4

40144242340 has 96 divisors (see below), whose sum is σ = 94035513600. Its totient is φ = 14306181120.

The previous prime is 40144242337. The next prime is 40144242349. The reversal of 40144242340 is 4324244104.

It is a super-2 number, since 2×401442423402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144242299 and 40144242308.

It is not an unprimeable number, because it can be changed into a prime (40144242349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14927716 + ... + 14930404.

It is an arithmetic number, because the mean of its divisors is an integer number (979536600).

Almost surely, 240144242340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40144242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47017756800).

40144242340 is an abundant number, since it is smaller than the sum of its proper divisors (53891271260).

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

40144242340 is a wasteful number, since it uses less digits than its factorization.

40144242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40144242340 its reverse (4324244104), we get a palindrome (44468486444).

The spelling of 40144242340 in words is "forty billion, one hundred forty-four million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 2311 2689 3230 4622 5378 6460 9244 10756 11555 13445 23110 26890 39287 43909 45713 46220 51091 53780 78574 87818 91426 102182 157148 175636 182852 196435 204364 219545 228565 255455 392870 439090 457130 510910 746453 785740 868547 878180 914260 1021820 1492906 1737094 2985812 3474188 3732265 4342735 6214279 7464530 8685470 12428558 14929060 17370940 24857116 31071395 62142790 105642743 118071301 124285580 211285486 236142602 422570972 472285204 528213715 590356505 1056427430 1180713010 2007212117 2112854860 2361426020 4014424234 8028848468 10036060585 20072121170 40144242340