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144441424013440 = 275474801909043
BaseRepresentation
bin100000110101111001100011…
…110001001110100010000000
3200221102110120012002112020011
4200311321203301032202000
5122413012014021412230
61231111250225354304
742265356065352541
oct4065714361164200
9627373505075204
10144441424013440
114202929a303664
1214249870798994
1362799c9c35608
1427950061604c8
1511a73bd8b1e2a
hex835e63c4e880

144441424013440 has 64 divisors (see below), whose sum is σ = 352652200191360. Its totient is φ = 56547280878592.

The previous prime is 144441424013431. The next prime is 144441424013459. The reversal of 144441424013440 is 44310424144441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1444414240134402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144441424013393 and 144441424013402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2400924442 + ... + 2400984601.

It is an arithmetic number, because the mean of its divisors is an integer number (5510190627990).

Almost surely, 2144441424013440 is an apocalyptic number.

144441424013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441424013440 is an abundant number, since it is smaller than the sum of its proper divisors (208210776177920).

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

144441424013440 is an equidigital number, since it uses as much as digits as its factorization.

144441424013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801909109 (or 4801909097 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 144441424013440 its reverse (44310424144441), we get a palindrome (188751848157881).

The spelling of 144441424013440 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred twenty-four million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1504 1880 3008 3760 6016 7520 15040 30080 4801909043 9603818086 19207636172 24009545215 38415272344 48019090430 76830544688 96038180860 153661089376 192076361720 225689725021 307322178752 384152723440 451379450042 614644357504 768305446880 902758900084 1128448625105 1536610893760 1805517800168 2256897250210 3073221787520 3611035600336 4513794500420 7222071200672 9027589000840 14444142401344 18055178001680 28888284802688 36110356003360 72220712006720 144441424013440