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14222044202432 = 2611267724007
BaseRepresentation
bin1100111011110101001111…
…1001001000010111000000
31212100121120201021011001212
43032331103321020113000
53331003221303434212
650125303352545252
72665336341053243
oct316752371102700
955317521234055
1014222044202432
114593598203400
1217183b19b2228
137c2196300691
143724ca11925a
15199e347d2e22
hexcef53e485c0

14222044202432 has 126 divisors (see below), whose sum is σ = 31074373645896. Its totient is φ = 6453405770240.

The previous prime is 14222044202417. The next prime is 14222044202447. The reversal of 14222044202432 is 23420244022241.

14222044202432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14222044202417) and next prime (14222044202447).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3549297773 + ... + 3549301779.

Almost surely, 214222044202432 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 14222044202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15537186822948).

14222044202432 is an abundant number, since it is smaller than the sum of its proper divisors (16852329443464).

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

14222044202432 is an frugal number, since it uses more digits than its factorization.

14222044202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 14222044202432 its reverse (23420244022241), we get a palindrome (37642288224673).

The spelling of 14222044202432 in words is "fourteen trillion, two hundred twenty-two billion, forty-four million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 677 704 968 1354 1936 2708 3872 4007 5416 7447 7744 8014 10832 14894 16028 21664 29788 32056 43328 44077 59576 64112 81917 88154 119152 128224 163834 176308 238304 256448 327668 352616 458329 476608 484847 655336 705232 916658 969694 1310672 1410464 1833316 1939388 2621344 2712739 2820928 3666632 3878776 5041619 5242688 5425478 7333264 7757552 10083238 10850956 14666528 15515104 20166476 21701912 29333056 29840129 31030208 40332952 43403824 55457809 59680258 80665904 86807648 110915618 119360516 161331808 173615296 221831236 238721032 322663616 328241419 443662472 477442064 656482838 887324944 954884128 1312965676 1774649888 1836524303 1909768256 2625931352 3549299776 3673048606 5251862704 7346097212 10503725408 14692194424 20201767333 21007450816 29384388848 40403534666 58768777696 80807069332 117537555392 161614138664 222219440663 323228277328 444438881326 646456554656 888877762652 1292913109312 1777755525304 3555511050608 7111022101216 14222044202432