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2314297381000 = 235311894123531
BaseRepresentation
bin100001101011010110110…
…111111001000010001000
322012020121100211002022211
4201223112313321002020
5300404140112143000
64531101252354504
7326126306110063
oct41532667710210
98166540732284
102314297381000
118125405a1040
12314639615a34
1313a311493827
14800267998da
15403009627ba
hex21ad6df9088

2314297381000 has 128 divisors (see below), whose sum is σ = 5908681883520. Its totient is φ = 841432800000.

The previous prime is 2314297380973. The next prime is 2314297381007. The reversal of 2314297381000 is 1837924132.

It is a super-2 number, since 2×23142973810002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2314297381007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98339235 + ... + 98362765.

It is an arithmetic number, because the mean of its divisors is an integer number (46161577215).

Almost surely, 22314297381000 is an apocalyptic number.

2314297381000 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 2314297381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954340941760).

2314297381000 is an abundant number, since it is smaller than the sum of its proper divisors (3594384502520).

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

2314297381000 is a wasteful number, since it uses less digits than its factorization.

2314297381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32504 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 2314297381000 in words is "two trillion, three hundred fourteen billion, two hundred ninety-seven million, three hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 8941 11000 17882 23531 35764 44705 47062 71528 89410 94124 98351 117655 178820 188248 196702 223525 235310 258841 357640 393404 447050 470620 491755 517682 588275 786808 894100 941240 983510 1035364 1117625 1176550 1294205 1788200 1967020 2070728 2235250 2353100 2458775 2588410 2941375 3934040 4470500 4706200 4917550 5176820 5882750 6471025 8941000 9835100 10353640 11765500 12293875 12942050 19670200 23531000 24587750 25884100 32355125 49175500 51768200 64710250 98351000 129420500 210390671 258841000 420781342 841562684 1051953355 1683125368 2103906710 2314297381 4207813420 4628594762 5259766775 8415626840 9257189524 10519533550 11571486905 18514379048 21039067100 23142973810 26298833875 42078134200 46285947620 52597667750 57857434525 92571895240 105195335500 115714869050 210390671000 231429738100 289287172625 462859476200 578574345250 1157148690500 2314297381000