Search a number
-
+
2313044142400 = 26523847375787
BaseRepresentation
bin100001101010001100001…
…011001010100101000000
322012010101000121222011101
4201222030023022211000
5300344103300024100
64530333043224144
7326053250545165
oct41521413124500
98163330558141
102313044142400
11811a58132362
12314349978054
1313a17194bb24
147dd4816c06c
154027a90c86a
hex21a8c2ca940

2313044142400 has 84 divisors (see below), whose sum is σ = 5693028865888. Its totient is φ = 924974691840.

The previous prime is 2313044142371. The next prime is 2313044142419. The reversal of 2313044142400 is 42414403132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5967307 + ... + 6343093.

Almost surely, 22313044142400 is an apocalyptic number.

2313044142400 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 2313044142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846514432944).

2313044142400 is an abundant number, since it is smaller than the sum of its proper divisors (3379984723488).

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

2313044142400 is a wasteful number, since it uses less digits than its factorization.

2313044142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379656 (or 379641 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2313044142400 its reverse (42414403132), we get a palindrome (2355458545532).

The spelling of 2313044142400 in words is "two trillion, three hundred thirteen billion, forty-four million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3847 7694 15388 19235 30776 38470 61552 76940 96175 123104 153880 192350 246208 307760 375787 384700 615520 751574 769400 1231040 1503148 1538800 1878935 3006296 3077600 3757870 6012592 6155200 7515740 9394675 12025184 15031480 18789350 24050368 30062960 37578700 60125920 75157400 120251840 150314800 300629600 601259200 1445652589 2891305178 5782610356 7228262945 11565220712 14456525890 23130441424 28913051780 36141314725 46260882848 57826103560 72282629450 92521765696 115652207120 144565258900 231304414240 289130517800 462608828480 578261035600 1156522071200 2313044142400