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2311310201440 = 255107472128597
BaseRepresentation
bin100001101000100100110…
…100101101001001100000
322011221220011220122022211
4201220210310231021200
5300332030402421230
64525445023011504
7325662264361552
oct41504464551140
98157804818284
102311310201440
118112483978a9
12313b45139b94
13139c5664a866
147dc21b6d4d2
15401c85a242a
hex21a24d2d260

2311310201440 has 96 divisors (see below), whose sum is σ = 5512862998944. Its totient is φ = 915657646080.

The previous prime is 2311310201407. The next prime is 2311310201461. The reversal of 2311310201440 is 441020131132.

It is a super-2 number, since 2×23113102014402 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 80809222 + ... + 80837818.

It is an arithmetic number, because the mean of its divisors is an integer number (57425656239).

Almost surely, 22311310201440 is an apocalyptic number.

2311310201440 is a gapful number since it is divisible by the number (20) 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 2311310201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756431499472).

2311310201440 is an abundant number, since it is smaller than the sum of its proper divisors (3201552797504).

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

2311310201440 is a wasteful number, since it uses less digits than its factorization.

2311310201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33440 (or 33432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2311310201440 its reverse (441020131132), we get a palindrome (2752330332572).

The spelling of 2311310201440 in words is "two trillion, three hundred eleven billion, three hundred ten million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 4721 8560 9442 17120 18884 23605 28597 37768 47210 57194 75536 94420 114388 142985 151072 188840 228776 285970 377680 457552 505147 571940 755360 915104 1010294 1143880 2020588 2287760 2525735 3059879 4041176 4575520 5051470 6119758 8082352 10102940 12239516 15299395 16164704 20205880 24479032 30598790 40411760 48958064 61197580 80823520 97916128 122395160 135006437 244790320 270012874 489580640 540025748 675032185 1080051496 1350064370 2160102992 2700128740 4320205984 5400257480 10800514960 14445688759 21601029920 28891377518 57782755036 72228443795 115565510072 144456887590 231131020144 288913775180 462262040288 577827550360 1155655100720 2311310201440