Search a number
-
+
140013243403131 = 37193494192399699
BaseRepresentation
bin11111110101011101011111…
…101000110000101101111011
3200100202010122200001010101110
4133311131133220300231323
5121322434110302400011
61213441110203051403
741330423460251610
oct3765353750605573
9610663580033343
10140013243403131
114068131284400a
1213853607b10b63
136018266355207
14268096a0d6507
15112c0ebebcba6
hex7f575fa30b7b

140013243403131 has 64 divisors (see below), whose sum is σ = 225763776000000. Its totient is φ = 75399048692352.

The previous prime is 140013243403127. The next prime is 140013243403139. The reversal of 140013243403131 is 131304342310041.

It is not a de Polignac number, because 140013243403131 - 22 = 140013243403127 is a prime.

It is a super-2 number, since 2×1400132434031312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140013243403139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57146320 + ... + 59546018.

It is an arithmetic number, because the mean of its divisors is an integer number (3527559000000).

Almost surely, 2140013243403131 is an apocalyptic number.

140013243403131 is a deficient number, since it is larger than the sum of its proper divisors (85750532596869).

140013243403131 is a wasteful number, since it uses less digits than its factorization.

140013243403131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400496.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 140013243403131 its reverse (131304342310041), we get a palindrome (271317585713172).

The spelling of 140013243403131 in words is "one hundred forty trillion, thirteen billion, two hundred forty-three million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 349 399 419 1047 1257 2443 2933 6631 7329 7961 8799 19893 23883 46417 55727 139251 146231 167181 438693 1023617 2399699 2778389 3070851 7199097 8335167 16797893 19448723 45594281 50393679 58346169 136782843 319159967 837494951 957479901 1005473881 2512484853 3016421643 5862464657 7038317167 15912404069 17587393971 19104003739 21114951501 47737212207 57312011217 111386828483 133728026173 334160485449 350910384469 401184078519 1052731153407 2456372691283 6667297304911 7369118073849 20001891914733 46671081134377 140013243403131