Search a number
-
+
2314134115000 = 23541789258707
BaseRepresentation
bin100001101011001101001…
…001000101001010111000
322012020011222121022110221
4201223031021011022320
5300403321313140000
64531033141145424
7326122254265651
oct41531511051270
98166158538427
102314134115000
11812467418964
123145b29bb274
1313a2b66cb626
148000cc1a528
15402e146261a
hex21acd2452b8

2314134115000 has 80 divisors (see below), whose sum is σ = 5425067953800. Its totient is φ = 925132656000.

The previous prime is 2314134114991. The next prime is 2314134115019. The reversal of 2314134115000 is 5114314132.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8815647 + ... + 9074353.

Almost surely, 22314134115000 is an apocalyptic number.

2314134115000 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 2314134115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712533976900).

2314134115000 is an abundant number, since it is smaller than the sum of its proper divisors (3110933838800).

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

2314134115000 is a wasteful number, since it uses less digits than its factorization.

2314134115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260522 (or 260503 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 2314134115000 its reverse (5114314132), we get a palindrome (2319248429132).

The spelling of 2314134115000 in words is "two trillion, three hundred fourteen billion, one hundred thirty-four million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1789 2500 3578 5000 7156 8945 14312 17890 35780 44725 71560 89450 178900 223625 258707 357800 447250 517414 894500 1034828 1118125 1293535 1789000 2069656 2236250 2587070 4472500 5174140 6467675 8945000 10348280 12935350 25870700 32338375 51741400 64676750 129353500 161691875 258707000 323383750 462826823 646767500 925653646 1293535000 1851307292 2314134115 3702614584 4628268230 9256536460 11570670575 18513072920 23141341150 46282682300 57853352875 92565364600 115706705750 231413411500 289266764375 462826823000 578533528750 1157067057500 2314134115000