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14110312024144 = 2471071916164551
BaseRepresentation
bin1100110101010101000000…
…1000101100100001010000
31211221221011220110101210101
43031111100020230201100
53322140404334233034
650002104324342144
72654302454160310
oct315252010544120
954857156411711
1014110312024144
114550171312096
1216ba80ab44954
137b479ac9b90b
1436ad2ac75440
151970955cc514
hexcd55022c850

14110312024144 has 80 divisors (see below), whose sum is σ = 31701381267456. Its totient is φ = 5959393776000.

The previous prime is 14110312024097. The next prime is 14110312024147. The reversal of 14110312024144 is 44142021301141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110312024147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793332 + ... + 5371219.

Almost surely, 214110312024144 is an apocalyptic number.

14110312024144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14110312024144 is an abundant number, since it is smaller than the sum of its proper divisors (17591069243312).

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

14110312024144 is a wasteful number, since it uses less digits than its factorization.

14110312024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164864 (or 6164858 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14110312024144 its reverse (44142021301141), we get a palindrome (58252333325285).

The spelling of 14110312024144 in words is "fourteen trillion, one hundred ten billion, three hundred twelve million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 191 214 382 428 749 764 856 1337 1498 1528 1712 2674 2996 3056 5348 5992 10696 11984 20437 21392 40874 81748 143059 163496 286118 326992 572236 1144472 2288944 6164551 12329102 24658204 43151857 49316408 86303714 98632816 172607428 345214856 659606957 690429712 1177429241 1319213914 2354858482 2638427828 4617248699 4709716964 5276855656 8242004687 9234497398 9419433928 10553711312 16484009374 18468994796 18838867856 32968018748 36937989592 65936037496 73875979184 125984928787 131872074992 251969857574 503939715148 881894501509 1007879430296 1763789003018 2015758860592 3527578006036 7055156012072 14110312024144