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314003042240220 = 223251991813755041
BaseRepresentation
bin100011101100101011000011…
…1110010101000011011011100
31112011210101201220101100122100
41013121112013302220123130
5312124111212303141340
63031455001201045100
7123065654051561514
oct10731260762503334
91464711656340570
10314003042240220
1191061a40336223
122b273a87626790
131062948a70c6b8
145777b84d44844
152647e16896830
hex11d9587ca86dc

314003042240220 has 72 divisors (see below), whose sum is σ = 1002606205058640. Its totient is φ = 79327084354560.

The previous prime is 314003042240219. The next prime is 314003042240297. The reversal of 314003042240220 is 22042240300413.

314003042240220 is a `hidden beast` number, since 3 + 1 + 400 + 30 + 4 + 2 + 2 + 4 + 0 + 220 = 666.

It is a super-2 number, since 2×3140030422402202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45906874101 + ... + 45906880940.

It is an arithmetic number, because the mean of its divisors is an integer number (13925086181370).

Almost surely, 2314003042240220 is an apocalyptic number.

314003042240220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314003042240220 is an abundant number, since it is smaller than the sum of its proper divisors (688603162818420).

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

314003042240220 is a wasteful number, since it uses less digits than its factorization.

314003042240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91813755075 (or 91813755070 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 314003042240220 its reverse (22042240300413), we get a palindrome (336045282540633).

The spelling of 314003042240220 in words is "three hundred fourteen trillion, three billion, forty-two million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 91813755041 183627510082 275441265123 367255020164 459068775205 550882530246 826323795369 918137550410 1101765060492 1377206325615 1652647590738 1744461345779 1836275100820 2754412651230 3305295181476 3488922691558 4131618976845 5233384037337 5508825302460 6977845383116 8263237953690 8722306728895 10466768074674 15700152112011 16526475907380 17444613457790 20933536149348 26166920186685 31400304224022 34889226915580 52333840373370 62800608448044 78500760560055 104667680746740 157001521120110 314003042240220