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14215141431552 = 283181743137633
BaseRepresentation
bin1100111011011011100001…
…1101001001100100000000
31212022221202122111001120010
43032312320131021210000
53330400102201302202
650122202410344520
72665003312345635
oct316667035114400
955287678431503
1014215141431552
114590675828486
121716ba612b140
137c16361aac79
1437203346c18c
15199b7d7c276c
hexcedb8749900

14215141431552 has 144 divisors (see below), whose sum is σ = 38093506109568. Its totient is φ = 4705825259520.

The previous prime is 14215141431527. The next prime is 14215141431553. The reversal of 14215141431552 is 25513414151241.

It is a super-2 number, since 2×142151414315522 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14215141431552.

It is not an unprimeable number, because it can be changed into a prime (14215141431553) 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, 103214128 + ... + 103351760.

It is an arithmetic number, because the mean of its divisors is an integer number (264538236872).

Almost surely, 214215141431552 is an apocalyptic number.

14215141431552 is a gapful number since it is divisible by the number (12) 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 14215141431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046753054784).

14215141431552 is an abundant number, since it is smaller than the sum of its proper divisors (23878364678016).

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

14215141431552 is a wasteful number, since it uses less digits than its factorization.

14215141431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138576 (or 138562 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

Adding to 14215141431552 its reverse (25513414151241), we get a palindrome (39728555582793).

The spelling of 14215141431552 in words is "fourteen trillion, two hundred fifteen billion, one hundred forty-one million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 543 724 743 768 1086 1448 1486 2172 2229 2896 2972 4344 4458 5792 5944 8688 8916 11584 11888 17376 17832 23168 23776 34752 35664 46336 47552 69504 71328 95104 134483 137633 139008 142656 190208 268966 275266 285312 403449 412899 537932 550532 570624 806898 825798 1075864 1101064 1613796 1651596 2151728 2202128 3227592 3303192 4303456 4404256 6455184 6606384 8606912 8808512 12910368 13212768 17213824 17617024 24911573 25820736 26425536 34427648 35234048 49823146 51641472 52851072 74734719 99646292 102261319 103282944 105702144 149469438 199292584 204522638 298938876 306783957 398585168 409045276 597877752 613567914 797170336 818090552 1195755504 1227135828 1594340672 1636181104 2391511008 2454271656 3188681344 3272362208 4783022016 4908543312 6377362688 6544724416 9566044032 9817086624 13089448832 18509298739 19132088064 19634173248 26178897664 37018597478 39268346496 55527896217 74037194956 78536692992 111055792434 148074389912 222111584868 296148779824 444223169736 592297559648 888446339472 1184595119296 1776892678944 2369190238592 3553785357888 4738380477184 7107570715776 14215141431552