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14201352432 = 2433293730637
BaseRepresentation
bin11010011100111011…
…10111000011110000
31100122201100110012000
431032131313003300
5213041021234212
610305104134000
71011631334601
oct151635670360
940581313160
1014201352432
116028325303
122904007300
13145424a927
1498a12bda8
15581b581dc
hex34e7770f0

14201352432 has 160 divisors (see below), whose sum is σ = 43309876800. Its totient is φ = 4446876672.

The previous prime is 14201352359. The next prime is 14201352437. The reversal of 14201352432 is 23425310241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14201352396 and 14201352405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201352437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448218 + ... + 478854.

It is an arithmetic number, because the mean of its divisors is an integer number (270686730).

Almost surely, 214201352432 is an apocalyptic number.

14201352432 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 14201352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654938400).

14201352432 is an abundant number, since it is smaller than the sum of its proper divisors (29108524368).

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

14201352432 is a wasteful number, since it uses less digits than its factorization.

14201352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30720 (or 30708 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14201352432 its reverse (23425310241), we get a palindrome (37626662673).

The spelling of 14201352432 in words is "fourteen billion, two hundred one million, three hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 37 48 54 58 72 74 87 108 111 116 144 148 174 216 222 232 261 296 333 348 432 444 464 522 592 666 696 783 888 999 1044 1073 1332 1392 1566 1776 1998 2088 2146 2664 3132 3219 3996 4176 4292 5328 6264 6438 7992 8584 9657 12528 12876 15984 17168 19314 25752 28971 30637 38628 51504 57942 61274 77256 91911 115884 122548 154512 183822 231768 245096 275733 367644 463536 490192 551466 735288 827199 888473 1102932 1133569 1470576 1654398 1776946 2205864 2267138 2665419 3308796 3400707 3553892 4411728 4534276 5330838 6617592 6801414 7107784 7996257 9068552 10202121 10661676 13235184 13602828 14215568 15992514 18137104 20404242 21323352 23988771 27205656 30606363 31985028 32873501 40808484 42646704 47977542 54411312 61212726 63970056 65747002 81616968 95955084 98620503 122425452 127940112 131494004 163233936 191910168 197241006 244850904 262988008 295861509 383820336 394482012 489701808 525976016 591723018 788964024 887584527 1183446036 1577928048 1775169054 2366892072 3550338108 4733784144 7100676216 14201352432