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14164616202040 = 2353767281508349
BaseRepresentation
bin1100111000011111010011…
…1010101100011100111000
31212011010100110100110111101
43032013310322230130320
53324033113221431130
650043045043341144
72661234252106543
oct316076472543470
955133313313441
1014164616202040
1145711a8636757
1217092453817b4
137b9943691665
1436d7dd09985a
151986c2c7e1ca
hexce1f4eac738

14164616202040 has 128 divisors (see below), whose sum is σ = 33338569032000. Its totient is φ = 5411100119040.

The previous prime is 14164616202029. The next prime is 14164616202097. The reversal of 14164616202040 is 4020261646141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27609786 + ... + 28118134.

Almost surely, 214164616202040 is an apocalyptic number.

14164616202040 is a gapful number since it is divisible by the number (10) 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 14164616202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669284516000).

14164616202040 is an abundant number, since it is smaller than the sum of its proper divisors (19173952829960).

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

14164616202040 is a wasteful number, since it uses less digits than its factorization.

14164616202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508745 (or 508741 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

Adding to 14164616202040 its reverse (4020261646141), we get a palindrome (18184877848181).

The spelling of 14164616202040 in words is "fourteen trillion, one hundred sixty-four billion, six hundred sixteen million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 67 74 134 148 185 268 281 296 335 370 536 562 670 740 1124 1340 1405 1480 2248 2479 2680 2810 4958 5620 9916 10397 11240 12395 18827 19832 20794 24790 37654 41588 49580 51985 75308 83176 94135 99160 103970 150616 188270 207940 376540 415880 508349 696599 753080 1016698 1393198 2033396 2541745 2786396 3482995 4066792 5083490 5572792 6965990 10166980 13931980 18808913 20333960 27863960 34059383 37617826 68118766 75235652 94044565 136237532 142846069 150471304 170296915 188089130 272475064 285692138 340593830 376178260 571384276 681187660 714230345 752356520 1142768552 1260197171 1362375320 1428460690 2520394342 2856921380 5040788684 5285304553 5713842760 6300985855 9570686623 10081577368 10570609106 12601971710 19141373246 21141218212 25203943420 26426522765 38282746492 42282436424 47853433115 50407886840 52853045530 76565492984 95706866230 105706091060 191413732460 211412182120 354115405051 382827464920 708230810102 1416461620204 1770577025255 2832923240408 3541154050510 7082308101020 14164616202040