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144640844401110 = 23553644914105921
BaseRepresentation
bin100000111000110011010010…
…001001101000100111010110
3200222010112022010201212002020
4200320303102021220213112
5122424243422131313420
61231343030412354010
742315645650602641
oct4070632211504726
9628115263655066
10144640844401110
11420a5923981502
1214280446175906
13629275b1468c5
1427a0923284a58
1511ac690ee4340
hex838cd22689d6

144640844401110 has 64 divisors (see below), whose sum is σ = 353742669547200. Its totient is φ = 37837268418560.

The previous prime is 144640844401099. The next prime is 144640844401127. The reversal of 144640844401110 is 11104448046441.

It is a super-2 number, since 2×1446408444011102 (a number of 29 digits) contains 22 as substring.

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, 3200950 + ... + 17306870.

It is an arithmetic number, because the mean of its divisors is an integer number (5527229211675).

Almost surely, 2144640844401110 is an apocalyptic number.

144640844401110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144640844401110 is an abundant number, since it is smaller than the sum of its proper divisors (209101825146090).

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

144640844401110 is a wasteful number, since it uses less digits than its factorization.

144640844401110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112433.

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 144640844401110 in words is "one hundred forty-four trillion, six hundred forty billion, eight hundred forty-four million, four hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 6449 12898 19347 32245 38694 64490 96735 193470 341797 683594 1025391 1708985 2050782 3417970 5126955 10253910 14105921 28211842 42317763 70529605 84635526 141059210 211588815 423177630 747613813 1495227626 2242841439 3738069065 4485682878 7476138130 11214207195 22428414390 90969084529 181938169058 272907253587 454845422645 545814507174 909690845290 1364536267935 2729072535870 4821361480037 9642722960074 14464084440111 24106807400185 28928168880222 48213614800370 72320422200555 144640844401110