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114666357300 = 223521170949009
BaseRepresentation
bin110101011001010100…
…1011100001000110100
3101221222021222111012020
41222302221130020310
53334314041413200
6124402121553140
711166352645455
oct1526251341064
9357867874166
10114666357300
11446a2195450
121a2816457b0
13aa751ab981
14579ac3512c
152eb1ae6ea0
hex1ab2a5c234

114666357300 has 144 divisors (see below), whose sum is σ = 362446593600. Its totient is φ = 27758131200.

The previous prime is 114666357287. The next prime is 114666357329. The reversal of 114666357300 is 3753666411.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2315196 + ... + 2364204.

Almost surely, 2114666357300 is an apocalyptic number.

114666357300 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 114666357300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181223296800).

114666357300 is an abundant number, since it is smaller than the sum of its proper divisors (247780236300).

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

114666357300 is a wasteful number, since it uses less digits than its factorization.

114666357300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49746 (or 49739 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 114666357300 in words is "one hundred fourteen billion, six hundred sixty-six million, three hundred fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 709 825 1100 1418 1650 2127 2836 3300 3545 4254 7090 7799 8508 10635 14180 15598 17725 21270 23397 31196 35450 38995 42540 46794 49009 53175 70900 77990 93588 98018 106350 116985 147027 155980 194975 196036 212700 233970 245045 294054 389950 467940 490090 539099 584925 588108 735135 779900 980180 1078198 1169850 1225225 1470270 1617297 2156396 2339700 2450450 2695495 2940540 3234594 3675675 4900900 5390990 6469188 7351350 8086485 10781980 13477475 14702700 16172970 26954950 32345940 34747381 40432425 53909900 69494762 80864850 104242143 138989524 161729700 173736905 208484286 347473810 382221191 416968572 521210715 694947620 764442382 868684525 1042421430 1146663573 1528884764 1737369050 1911105955 2084842860 2293327146 2606053575 3474738100 3822211910 4586654292 5212107150 5733317865 7644423820 9555529775 10424214300 11466635730 19111059550 22933271460 28666589325 38222119100 57333178650 114666357300