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10344145240 = 23511132139109
BaseRepresentation
bin10011010001000111…
…10010000101011000
3222200220100000122101
421220203302011120
5132141100121430
64430234533144
7514223532562
oct115043620530
928626300571
1010344145240
114429000470
1220082971b4
13c8b0a3800
14701b48332
154081dbdca
hex2688f2158

10344145240 has 96 divisors (see below), whose sum is σ = 27493700400. Its totient is φ = 3472135680.

The previous prime is 10344145199. The next prime is 10344145249. The reversal of 10344145240 is 4254144301.

It is a junction number, because it is equal to n+sod(n) for n = 10344145199 and 10344145208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344145249) 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, 4806 + ... + 143914.

Almost surely, 210344145240 is an apocalyptic number.

10344145240 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 10344145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746850200).

10344145240 is an abundant number, since it is smaller than the sum of its proper divisors (17149555160).

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

10344145240 is a wasteful number, since it uses less digits than its factorization.

10344145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139157 (or 139140 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10344145240 its reverse (4254144301), we get a palindrome (14598289541).

The spelling of 10344145240 in words is "ten billion, three hundred forty-four million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2860 3380 3718 5720 6760 7436 9295 14872 18590 37180 74360 139109 278218 556436 695545 1112872 1391090 1530199 1808417 2782180 3060398 3616834 5564360 6120796 7233668 7650995 9042085 12241592 14467336 15301990 18084170 19892587 23509421 30603980 36168340 39785174 47018842 61207960 72336680 79570348 94037684 99462935 117547105 159140696 188075368 198925870 235094210 258603631 397851740 470188420 517207262 795703480 940376840 1034414524 1293018155 2068829048 2586036310 5172072620 10344145240