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14204531053332 = 22331746431666309
BaseRepresentation
bin1100111010110100000000…
…0001110001001100010100
31212021221101012011222221000
43032231000001301030110
53330211334422201312
650113245501223300
72664146343541434
oct316550001611424
955257335158830
1014204531053332
114587120517264
121714b24861b30
137c0634c00169
143717082202c4
1519975c046adc
hexceb40071314

14204531053332 has 96 divisors (see below), whose sum is σ = 39001251945600. Its totient is φ = 4455360999936.

The previous prime is 14204531053327. The next prime is 14204531053333. The reversal of 14204531053332 is 23335013540241.

14204531053332 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 4 + 5 + 310 + 5 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204531053333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7691394 + ... + 9357702.

It is an arithmetic number, because the mean of its divisors is an integer number (406263041100).

Almost surely, 214204531053332 is an apocalyptic number.

14204531053332 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 14204531053332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500625972800).

14204531053332 is an abundant number, since it is smaller than the sum of its proper divisors (24796720892268).

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

14204531053332 is a wasteful number, since it uses less digits than its factorization.

14204531053332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670982 (or 1670974 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 14204531053332 its reverse (23335013540241), we get a palindrome (37539544593573).

The spelling of 14204531053332 in words is "fourteen trillion, two hundred four billion, five hundred thirty-one million, fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 4643 9286 13929 18572 27858 41787 55716 78931 83574 125361 157862 167148 236793 250722 315724 473586 501444 710379 947172 1420758 1666309 2131137 2841516 3332618 4262274 4998927 6665236 8524548 9997854 14996781 19995708 28327253 29993562 44990343 56654506 59987124 84981759 89980686 113309012 169963518 179961372 254945277 339927036 509890554 764835831 1019781108 1529671662 3059343324 7736672687 15473345374 23210018061 30946690748 46420036122 69630054183 92840072244 131523435679 139260108366 208890162549 263046871358 278520216732 394570307037 417780325098 526093742716 789140614074 835560650196 1183710921111 1578281228148 2367421842222 3551132763333 4734843684444 7102265526666 14204531053332