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2314152430000 = 24541531151153
BaseRepresentation
bin100001101011001110001…
…110111100100110110000
322012020020021001210221021
4201223032032330212300
5300403341010230000
64531035033505224
7326122566046315
oct41531616744660
98166207053837
102314152430000
11812476798224
123145b8b72214
1313a2ba441ac8
1480011426d0c
15402e2d7e11a
hex21ace3bc9b0

2314152430000 has 100 divisors (see below), whose sum is σ = 5606491104808. Its totient is φ = 925050240000.

The previous prime is 2314152429923. The next prime is 2314152430001. The reversal of 2314152430000 is 342514132.

2314152430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2314152430001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15234424 + ... + 15385576.

Almost surely, 22314152430000 is an apocalyptic number.

2314152430000 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 2314152430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803245552404).

2314152430000 is an abundant number, since it is smaller than the sum of its proper divisors (3292338674808).

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

2314152430000 is a wasteful number, since it uses less digits than its factorization.

2314152430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152712 (or 152691 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2314152430000 its reverse (342514132), we get a palindrome (2314494944132).

The spelling of 2314152430000 in words is "two trillion, three hundred fourteen billion, one hundred fifty-two million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1531 2000 2500 3062 5000 6124 7655 10000 12248 15310 24496 30620 38275 61240 76550 122480 151153 153100 191375 302306 306200 382750 604612 612400 755765 765500 956875 1209224 1511530 1531000 1913750 2418448 3023060 3062000 3778825 3827500 6046120 7557650 7655000 12092240 15115300 15310000 18894125 30230600 37788250 60461200 75576500 94470625 151153000 188941250 231415243 302306000 377882500 462830486 755765000 925660972 1157076215 1511530000 1851321944 2314152430 3702643888 4628304860 5785381075 9256609720 11570762150 18513219440 23141524300 28926905375 46283048600 57853810750 92566097200 115707621500 144634526875 231415243000 289269053750 462830486000 578538107500 1157076215000 2314152430000