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14130303440 = 24511173130469
BaseRepresentation
bin11010010100011101…
…10101000111010000
31100110202122210021212
431022032311013100
5212414324202230
610254045235252
71010106411641
oct151216650720
940422583255
1014130303440
115aa1208130
1228a4262b28
1314426027c6
149809156c8
1557a7c1895
hex34a3b51d0

14130303440 has 160 divisors (see below), whose sum is σ = 39173207040. Its totient is φ = 4679884800.

The previous prime is 14130303433. The next prime is 14130303511. The reversal of 14130303440 is 4430303141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448526 + ... + 478994.

It is an arithmetic number, because the mean of its divisors is an integer number (244832544).

Almost surely, 214130303440 is an apocalyptic number.

14130303440 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 14130303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586603520).

14130303440 is an abundant number, since it is smaller than the sum of its proper divisors (25042903600).

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

14130303440 is a wasteful number, since it uses less digits than its factorization.

14130303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30541 (or 30535 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 14130303440 its reverse (4430303141), we get a palindrome (18560606581).

The spelling of 14130303440 in words is "fourteen billion, one hundred thirty million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 31 34 40 44 55 62 68 80 85 88 110 124 136 155 170 176 187 220 248 272 310 340 341 374 440 496 527 620 680 682 748 880 935 1054 1240 1360 1364 1496 1705 1870 2108 2480 2635 2728 2992 3410 3740 4216 5270 5456 5797 6820 7480 8432 10540 11594 13640 14960 21080 23188 27280 28985 30469 42160 46376 57970 60938 92752 115940 121876 152345 231880 243752 304690 335159 463760 487504 517973 609380 670318 944539 1035946 1218760 1340636 1675795 1889078 2071892 2437520 2589865 2681272 3351590 3778156 4143784 4722695 5179730 5362544 5697703 6703180 7556312 8287568 9445390 10359460 10389929 11395406 13406360 15112624 16057163 18890780 20718920 20779858 22790812 26812720 28488515 32114326 37781560 41437840 41559716 45581624 51949645 56977030 64228652 75563120 80285815 83119432 91163248 103899290 113954060 128457304 160571630 166238864 176628793 207798580 227908120 256914608 321143260 353257586 415597160 455816240 642286520 706515172 831194320 883143965 1284573040 1413030344 1766287930 2826060688 3532575860 7065151720 14130303440