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14404025055504 = 2437139349883699
BaseRepresentation
bin1101000110011011001011…
…0010111111100100010000
31220000000022021100022220010
43101212302302333210100
53341443420403234004
650345041234114520
73014441111561220
oct321466262774420
956000267308803
1014404025055504
1146537926a4837
12174771aa1ba40
138063a8447226
1437b231028080
1519ea35d6aa89
hexd19b2cbf910

14404025055504 has 160 divisors (see below), whose sum is σ = 42954889600000. Its totient is φ = 4074116424192.

The previous prime is 14404025055499. The next prime is 14404025055559. The reversal of 14404025055504 is 40555052040441.

14404025055504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15857847 + ... + 16741545.

It is an arithmetic number, because the mean of its divisors is an integer number (268468060000).

Almost surely, 214404025055504 is an apocalyptic number.

14404025055504 is a gapful number since it is divisible by the number (14) 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 14404025055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21477444800000).

14404025055504 is an abundant number, since it is smaller than the sum of its proper divisors (28550864544496).

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

14404025055504 is a wasteful number, since it uses less digits than its factorization.

14404025055504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884205 (or 884199 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 39.

Adding to 14404025055504 its reverse (40555052040441), we get a palindrome (54959077095945).

The spelling of 14404025055504 in words is "fourteen trillion, four hundred four billion, twenty-five million, fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 349 417 556 698 834 973 1047 1112 1396 1668 1946 2094 2224 2443 2792 2919 3336 3892 4188 4886 5584 5838 6672 7329 7784 8376 9772 11676 14658 15568 16752 19544 23352 29316 39088 46704 48511 58632 97022 117264 145533 194044 291066 339577 388088 582132 679154 776176 883699 1018731 1164264 1358308 1767398 2037462 2328528 2651097 2716616 3534796 4074924 5302194 5433232 6185893 7069592 8149848 10604388 12371786 14139184 16299696 18557679 21208776 24743572 37115358 42417552 49487144 74230716 98974288 122834161 148461432 245668322 296922864 308410951 368502483 491336644 616821902 737004966 859839127 925232853 982673288 1233643804 1474009932 1719678254 1850465706 1965346576 2158876657 2467287608 2579517381 2948019864 3439356508 3700931412 4317753314 4934575216 5159034762 5896039728 6476629971 6878713016 7401862824 8635506628 10318069524 12953259942 13757426032 14803725648 17271013256 20636139048 25906519884 34542026512 41272278096 42869122189 51813039768 85738244378 103626079536 128607366567 171476488756 257214733134 300083855323 342952977512 514429466268 600167710646 685905955024 900251565969 1028858932536 1200335421292 1800503131938 2057717865072 2400670842584 3601006263876 4801341685168 7202012527752 14404025055504