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2002400340012 = 223473137617963
BaseRepresentation
bin11101001000111000010…
…111000110100000101100
321002102112201111202110000
4131020320113012200230
5230301403441340022
64131520124344300
7264445230025632
oct35107027064054
97072481452400
102002400340012
11702238875866
122840b39a5090
13116a9693b9c7
146ccb959b352
1537148abe6ac
hex1d2385c682c

2002400340012 has 120 divisors (see below), whose sum is σ = 5345119167696. Its totient is φ = 653517061632.

The previous prime is 2002400339999. The next prime is 2002400340029. The reversal of 2002400340012 is 2100430042002.

2002400340012 is a `hidden beast` number, since 20 + 0 + 240 + 0 + 3 + 400 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2931343 + ... + 3549305.

Almost surely, 22002400340012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002400340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672559583848).

2002400340012 is an abundant number, since it is smaller than the sum of its proper divisors (3342718827684).

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

2002400340012 is a wasteful number, since it uses less digits than its factorization.

2002400340012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618189 (or 618178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002400340012 its reverse (2100430042002), we get a palindrome (4102830382014).

The spelling of 2002400340012 in words is "two trillion, two billion, four hundred million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 137 146 162 219 274 292 324 411 438 548 657 822 876 1233 1314 1644 1971 2466 2628 3699 3942 4932 5913 7398 7884 10001 11097 11826 14796 20002 22194 23652 30003 40004 44388 60006 90009 120012 180018 270027 360036 540054 617963 810081 1080108 1235926 1620162 1853889 2471852 3240324 3707778 5561667 7415556 11123334 16685001 22246668 33370002 45111299 50055003 66740004 84660931 90222598 100110006 135333897 169321862 180445196 200220012 253982793 270667794 338643724 406001691 507965586 541335588 761948379 812003382 1015931172 1218005073 1523896758 1624006764 2285845137 2436010146 3047793516 3654015219 4571690274 4872020292 6180247963 6857535411 7308030438 9143380548 12360495926 13715070822 14616060876 18540743889 24720991852 27430141644 37081487778 55622231667 74162975556 111244463334 166866695001 222488926668 333733390002 500600085003 667466780004 1001200170006 2002400340012