Search a number
-
+
140424430432 = 25111359351749
BaseRepresentation
bin1000001011000111110…
…0101100001101100000
3111102110102100011211211
42002301330230031200
54300042123233212
6144302102515504
713100563651546
oct2026174541540
9442412304754
10140424430432
115460aa25aa0
122326ba35b94
131031b7a8470
146b21b51d96
1539bd10d9a7
hex20b1f2c360

140424430432 has 96 divisors (see below), whose sum is σ = 325346868000. Its totient is φ = 58818846720.

The previous prime is 140424430403. The next prime is 140424430441. The reversal of 140424430432 is 234034424041.

It is a junction number, because it is equal to n+sod(n) for n = 140424430394 and 140424430403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2687694 + ... + 2739442.

It is an arithmetic number, because the mean of its divisors is an integer number (3389029875).

Almost surely, 2140424430432 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 140424430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162673434000).

140424430432 is an abundant number, since it is smaller than the sum of its proper divisors (184922437568).

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

140424430432 is a wasteful number, since it uses less digits than its factorization.

140424430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52376 (or 52368 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 140424430432 its reverse (234034424041), we get a palindrome (374458854473).

The spelling of 140424430432 in words is "one hundred forty billion, four hundred twenty-four million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 593 1144 1186 2288 2372 4576 4744 6523 7709 9488 13046 15418 18976 26092 30836 51749 52184 61672 84799 103498 104368 123344 169598 206996 208736 246688 339196 413992 569239 672737 678392 827984 1138478 1345474 1356784 1655968 2276956 2690948 2713568 4553912 5381896 7400107 9107824 10763792 14800214 18215648 21527584 29600428 30687157 59200856 61374314 118401712 122748628 236803424 245497256 337558727 398933041 490994512 675117454 797866082 981989024 1350234908 1595732164 2700469816 3191464328 4388263451 5400939632 6382928656 8776526902 10801879264 12765857312 17553053804 35106107608 70212215216 140424430432