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14321100213424 = 2419431215350767
BaseRepresentation
bin1101000001100110010000…
…0101110100110010110000
31212201002021002121212211201
43100121210011310302300
53334114103123312144
650243004515020544
73005444133212224
oct320314405646260
955632232555751
1014321100213424
1146215a97a15a4
12173363759a754
137cb621384334
14377205a4c784
1519c7d0c021d4
hexd0664174cb0

14321100213424 has 80 divisors (see below), whose sum is σ = 29289448212480. Its totient is φ = 6764662909440.

The previous prime is 14321100213419. The next prime is 14321100213461. The reversal of 14321100213424 is 42431200112341.

It is a happy number.

It is a super-2 number, since 2×143211002134242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14321100213392 and 14321100213401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282069289 + ... + 282120055.

It is an arithmetic number, because the mean of its divisors is an integer number (366118102656).

Almost surely, 214321100213424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14321100213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644724106240).

14321100213424 is an abundant number, since it is smaller than the sum of its proper divisors (14968347999056).

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

14321100213424 is a wasteful number, since it uses less digits than its factorization.

14321100213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53378 (or 53372 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14321100213424 its reverse (42431200112341), we get a palindrome (56752300325765).

The spelling of 14321100213424 in words is "fourteen trillion, three hundred twenty-one billion, one hundred million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 431 862 1724 2153 3448 4306 6896 8189 8612 16378 17224 32756 34448 40907 50767 65512 81814 101534 131024 163628 203068 327256 406136 654512 812272 927943 964573 1855886 1929146 3711772 3858292 7423544 7716584 14847088 15433168 17630917 21880577 35261834 43761154 70523668 87522308 109301351 141047336 175044616 218602702 282094672 350089232 415730963 437205404 831461926 874410808 1662923852 1748821616 2076725669 3325847704 4153451338 6651695408 8306902676 16613805352 33227610704 47108882281 94217764562 188435529124 376871058248 753742116496 895068763339 1790137526678 3580275053356 7160550106712 14321100213424