Search a number
-
+
2313500251040 = 255113203410393
BaseRepresentation
bin100001101010100111010…
…111000101001110100000
322012011112210212200120222
4201222213113011032200
5300401022031013130
64530450215222212
7326100456446036
oct41524727051640
98164483780528
102313500251040
11812171640550
12314456677968
1313a2152a70b4
147dd8c97a556
15402a59a5ce5
hex21aa75c53a0

2313500251040 has 96 divisors (see below), whose sum is σ = 5964397177536. Its totient is φ = 841008117760.

The previous prime is 2313500251039. The next prime is 2313500251061. The reversal of 2313500251040 is 401520053132.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5432084 + ... + 5842476.

It is an arithmetic number, because the mean of its divisors is an integer number (62129137266).

Almost surely, 22313500251040 is an apocalyptic number.

2313500251040 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 2313500251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982198588768).

2313500251040 is an abundant number, since it is smaller than the sum of its proper divisors (3650896926496).

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

2313500251040 is a wasteful number, since it uses less digits than its factorization.

2313500251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413622 (or 413614 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 2313500251040 in words is "two trillion, three hundred thirteen billion, five hundred million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 3203 6406 12812 16015 25624 32030 35233 51248 64060 70466 102496 128120 140932 176165 256240 281864 352330 410393 512480 563728 704660 820786 1127456 1409320 1641572 2051965 2818640 3283144 4103930 4514323 5637280 6566288 8207860 9028646 13132576 16415720 18057292 22571615 32831440 36114584 45143230 65662880 72229168 90286460 144458336 180572920 361145840 722291680 1314488779 2628977558 5257955116 6572443895 10515910232 13144887790 14459376569 21031820464 26289775580 28918753138 42063640928 52579551160 57837506276 72296882845 105159102320 115675012552 144593765690 210318204640 231350025104 289187531380 462700050208 578375062760 1156750125520 2313500251040