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140431300002 = 232721788710559
BaseRepresentation
bin1000001011001001011…
…0111001010110100010
3111102110220021012010100
42002302112321112202
54300100403100002
6144302510043230
713101006232500
oct2026226712642
9442426235110
10140431300002
1154613898224
12232721a9516
13103200421b6
146b22a1d670
1539bda1911c
hex20b25b95a2

140431300002 has 144 divisors (see below), whose sum is σ = 375222481920. Its totient is φ = 37716892416.

The previous prime is 140431299991. The next prime is 140431300039. The reversal of 140431300002 is 200003134041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13294399 + ... + 13304957.

It is an arithmetic number, because the mean of its divisors is an integer number (2605711680).

Almost surely, 2140431300002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140431300002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187611240960).

140431300002 is an abundant number, since it is smaller than the sum of its proper divisors (234791181918).

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

140431300002 is a wasteful number, since it uses less digits than its factorization.

140431300002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 140431300002 its reverse (200003134041), we get a palindrome (340434434043).

The spelling of 140431300002 in words is "one hundred forty billion, four hundred thirty-one million, three hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 887 1071 1666 1774 2142 2499 2661 4998 5322 6209 7497 7983 10559 12418 14994 15079 15966 18627 21118 30158 31677 37254 43463 45237 55881 63354 73913 86926 90474 95031 105553 111762 130389 135711 147826 179503 190062 211106 221739 260778 271422 316659 359006 391167 443478 517391 538509 633318 665217 738871 782334 949977 1034782 1077018 1256521 1330434 1477742 1552173 1615527 1899954 2216613 2513042 3104346 3231054 3769563 4433226 4656519 6649839 7539126 8795647 9313038 9365833 11308689 13299678 17591294 18731666 22617378 26386941 28097499 52773882 56194998 65560831 79160823 84292497 131121662 158321646 159219161 168584994 196682493 318438322 393364986 458925817 477657483 590047479 917851634 955314966 1114534127 1180094958 1376777451 1432972449 2229068254 2753554902 2865944898 3343602381 4130332353 6687204762 7801738889 8260664706 10030807143 15603477778 20061614286 23405216667 46810433334 70215650001 140431300002