Search a number
-
+
2401162002000 = 24335344465963
BaseRepresentation
bin100010111100010000011…
…010000111111001010000
322111112211002221001001000
4202330100122013321100
5303320034433031000
65035024550542000
7335323014155016
oct42742032077120
98445732831030
102401162002000
11846366396513
12329440367900
13145575851658
14843070d08b6
15426d6908000
hex22f10687e50

2401162002000 has 160 divisors (see below), whose sum is σ = 8601496076160. Its totient is φ = 640309852800.

The previous prime is 2401162001981. The next prime is 2401162002023. The reversal of 2401162002000 is 2002611042.

2401162002000 is a `hidden beast` number, since 2 + 40 + 1 + 1 + 620 + 0 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22178982 + ... + 22286981.

It is an arithmetic number, because the mean of its divisors is an integer number (53759350476).

Almost surely, 22401162002000 is an apocalyptic number.

2401162002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401162002000 is an abundant number, since it is smaller than the sum of its proper divisors (6200334074160).

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

2401162002000 is a wasteful number, since it uses less digits than its factorization.

2401162002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44465995 (or 44465973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2401162002000 its reverse (2002611042), we get a palindrome (2403164613042).

The spelling of 2401162002000 in words is "two trillion, four hundred one billion, one hundred sixty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 44465963 88931926 133397889 177863852 222329815 266795778 355727704 400193667 444659630 533591556 666989445 711455408 800387334 889319260 1067183112 1111649075 1200581001 1333978890 1600774668 1778638520 2000968335 2134366224 2223298150 2401162002 2667957780 3201549336 3334947225 3557277040 4001936670 4446596300 4802324004 5335915560 5558245375 6002905005 6403098672 6669894450 8003873340 8893192600 9604648008 10004841675 10671831120 11116490750 12005810010 13339788900 16007746680 16674736125 17786385200 19209296016 20009683350 22232981500 24011620020 26679577800 30014525025 32015493360 33349472250 40019366700 44465963000 48023240040 50024208375 53359155600 60029050050 66698944500 80038733400 88931926000 96046480080 100048416750 120058100100 133397889000 150072625125 160077466800 200096833500 240116200200 266795778000 300145250250 400193667000 480232400400 600290500500 800387334000 1200581001000 2401162002000