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331421354000 = 245311131114997
BaseRepresentation
bin1001101001010100100…
…00001000100000010000
31011200110022202012020222
410310222100020200100
520412222331312000
6412130341452212
732641634012402
oct4645220104020
91150408665228
10331421354000
11118611794660
1254294411068
132533980ac79
141208025ab72
15894ae99a85
hex4d2a408810

331421354000 has 160 divisors (see below), whose sum is σ = 880910439552. Its totient is φ = 119595840000.

The previous prime is 331421353987. The next prime is 331421354003. The reversal of 331421354000 is 453124133.

It is a super-2 number, since 2×3314213540002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331421354003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2824502 + ... + 2939498.

Almost surely, 2331421354000 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 331421354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440455219776).

331421354000 is an abundant number, since it is smaller than the sum of its proper divisors (549489085552).

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

331421354000 is a wasteful number, since it uses less digits than its factorization.

331421354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115162 (or 115146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 331421354000 its reverse (453124133), we get a palindrome (331874478133).

The spelling of 331421354000 in words is "three hundred thirty-one billion, four hundred twenty-one million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 131 176 200 220 250 262 275 400 440 500 524 550 655 880 1000 1048 1100 1310 1375 1441 2000 2096 2200 2620 2750 2882 3275 4400 5240 5500 5764 6550 7205 10480 11000 11528 13100 14410 16375 22000 23056 26200 28820 32750 36025 52400 57640 65500 72050 114997 115280 131000 144100 180125 229994 262000 288200 360250 459988 574985 576400 720500 919976 1149970 1264967 1441000 1839952 2299940 2529934 2874925 2882000 4599880 5059868 5749850 6324835 9199760 10119736 11499700 12649670 14374625 15064607 20239472 22999400 25299340 28749250 30129214 31624175 45998800 50598680 57498500 60258428 63248350 75323035 101197360 114997000 120516856 126496700 150646070 158120875 165710677 229994000 241033712 252993400 301292140 316241750 331421354 376615175 505986800 602584280 632483500 662842708 753230350 828553385 1205168560 1264967000 1325685416 1506460700 1657106770 1883075875 2529934000 2651370832 3012921400 3314213540 3766151750 4142766925 6025842800 6628427080 7532303500 8285533850 13256854160 15064607000 16571067700 20713834625 30129214000 33142135400 41427669250 66284270800 82855338500 165710677000 331421354000