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14440144110440 = 23519414011155659
BaseRepresentation
bin1101001000100001101110…
…1010010000001101101000
31220010110112110201102121112
43102020123222100031220
53343041403343013230
650413413254525452
73020160142512326
oct322103352201550
956113473642545
1014440144110440
114668037995364
12175271b066888
13809913460a99
1437cc99dd2d16
151a094bc97d95
hexd221ba90368

14440144110440 has 128 divisors (see below), whose sum is σ = 35121894192000. Its totient is φ = 5325272064000.

The previous prime is 14440144110367. The next prime is 14440144110493. The reversal of 14440144110440 is 4401144104441.

It is a junction number, because it is equal to n+sod(n) for n = 14440144110397 and 14440144110406.

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, 11917331 + ... + 13072989.

It is an arithmetic number, because the mean of its divisors is an integer number (274389798375).

Almost surely, 214440144110440 is an apocalyptic number.

14440144110440 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 14440144110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17560947096000).

14440144110440 is an abundant number, since it is smaller than the sum of its proper divisors (20681750081560).

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

14440144110440 is a wasteful number, since it uses less digits than its factorization.

14440144110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156131 (or 1156127 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 14440144110440 its reverse (4401144104441), we get a palindrome (18841288214881).

The spelling of 14440144110440 in words is "fourteen trillion, four hundred forty billion, one hundred forty-four million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 401 410 760 779 802 820 1558 1604 1640 2005 3116 3208 3895 4010 6232 7619 7790 8020 15238 15580 16040 16441 30476 31160 32882 38095 60952 65764 76190 82205 131528 152380 164410 304760 312379 328820 624758 657640 1155659 1249516 1561895 2311318 2499032 3123790 4622636 5778295 6247580 9245272 11556590 12495160 21957521 23113180 43915042 46226360 47382019 87830084 94764038 109787605 175660168 189528076 219575210 236910095 379056152 439150420 463419259 473820190 878300840 900258361 926838518 947640380 1800516722 1853677036 1895280760 2317096295 3601033444 3707354072 4501291805 4634192590 7202066888 8804965921 9002583610 9268385180 17609931842 18005167220 18536770360 19000189619 35219863684 36010334440 38000379238 44024829605 70439727368 76000758476 88049659210 95000948095 152001516952 176099318420 190001896190 352198636840 361003602761 380003792380 722007205522 760007584760 1444014411044 1805018013805 2888028822088 3610036027610 7220072055220 14440144110440