Search a number
-
+
240421132120000 = 265413462348331
BaseRepresentation
bin110110101010100101101000…
…001011010010111111000000
31011112021000222001221100210211
4312222211220023102333000
5223003024434310320000
62211155535432403504
7101432565531340546
oct6652455013227700
91145230861840724
10240421132120000
116a6730363522a7
1222b6b286846594
13a41c8002881a0
144352632a87d96
151cbdd8a9ed7ba
hexdaa9682d2fc0

240421132120000 has 140 divisors (see below), whose sum is σ = 642025216085176. Its totient is φ = 88770879360000.

The previous prime is 240421132119979. The next prime is 240421132120097. The reversal of 240421132120000 is 21231124042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230654166 + ... + 231694165.

Almost surely, 2240421132120000 is an apocalyptic number.

240421132120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240421132120000 is an abundant number, since it is smaller than the sum of its proper divisors (401604083965176).

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

240421132120000 is an equidigital number, since it uses as much as digits as its factorization.

240421132120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462348376 (or 462348351 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 240421132120000 its reverse (21231124042), we get a palindrome (240442363244042).

The spelling of 240421132120000 in words is "two hundred forty trillion, four hundred twenty-one billion, one hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 260000 520000 462348331 924696662 1849393324 2311741655 3698786648 4623483310 6010528303 7397573296 9246966620 11558708275 12021056606 14795146592 18493933240 23117416550 24042113212 29590293184 30052641515 36987866480 46234833100 48084226424 57793541375 60105283030 73975732960 92469666200 96168452848 115587082750 120210566060 147951465920 150263207575 184939332400 192336905696 231174165500 240421132120 288967706875 300526415150 369878664800 384673811392 462348331000 480842264240 577935413750 601052830300 739757329600 751316037875 924696662000 961684528480 1155870827500 1202105660600 1502632075750 1849393324000 1923369056960 2311741655000 2404211321200 3005264151500 3698786648000 3756580189375 4623483310000 4808422642400 6010528303000 7513160378750 9246966620000 9616845284800 12021056606000 15026320757500 18493933240000 24042113212000 30052641515000 48084226424000 60105283030000 120210566060000 240421132120000