Search a number
-
+
10140143440 = 245719250159
BaseRepresentation
bin10010111000110011…
…00100111101010000
3222011200110122210011
421130121210331100
5131231334042230
64354110244304
7506165540260
oct113431447520
928150418704
1010140143440
114333934939
121b6bab6694
13c57a47b9b
146c2a037a0
153e5341e2a
hex25c664f50

10140143440 has 120 divisors (see below), whose sum is σ = 28437108480. Its totient is φ = 3293574912.

The previous prime is 10140143407. The next prime is 10140143441. The reversal of 10140143440 is 4434104101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140143441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177081 + ... + 227239.

It is an arithmetic number, because the mean of its divisors is an integer number (236975904).

Almost surely, 210140143440 is an apocalyptic number.

10140143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218554240).

10140143440 is an abundant number, since it is smaller than the sum of its proper divisors (18296965040).

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

10140143440 is a wasteful number, since it uses less digits than its factorization.

10140143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50217 (or 50192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10140143440 its reverse (4434104101), we get a palindrome (14574247541).

The spelling of 10140143440 in words is "ten billion, one hundred forty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 361 380 532 560 665 722 760 1064 1330 1444 1520 1805 2128 2527 2660 2888 3610 5054 5320 5776 7220 10108 10640 12635 14440 20216 25270 28880 40432 50159 50540 100318 101080 200636 202160 250795 351113 401272 501590 702226 802544 953021 1003180 1404452 1755565 1906042 2006360 2808904 3511130 3812084 4012720 4765105 5617808 6671147 7022260 7624168 9530210 13342294 14044520 15248336 18107399 19060420 26684588 28089040 33355735 36214798 38120840 53369176 66711470 72429596 76241680 90536995 106738352 126751793 133422940 144859192 181073990 253503586 266845880 289718384 362147980 507007172 533691760 633758965 724295960 1014014344 1267517930 1448591920 2028028688 2535035860 5070071720 10140143440