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4201340300224 = 261929308938569
BaseRepresentation
bin111101001000110011011…
…001010110101111000000
3112212122101121222200200121
4331020303121112233000
51022313321104101344
612534022531230024
7612352062216004
oct75106331265700
915778347880617
104201340300224
11137a862086201
1257a2b8448314
132462529c2c62
141074bb432704
1574446e30684
hex3d233656bc0

4201340300224 has 112 divisors (see below), whose sum is σ = 9081615060000. Its totient is φ = 1920812285952.

The previous prime is 4201340300219. The next prime is 4201340300231. The reversal of 4201340300224 is 4220030431024.

It is a happy number.

4201340300224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108911212 + ... + 108949780.

It is an arithmetic number, because the mean of its divisors is an integer number (81085848750).

Almost surely, 24201340300224 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 4201340300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540807530000).

4201340300224 is an abundant number, since it is smaller than the sum of its proper divisors (4880274759776).

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

4201340300224 is a wasteful number, since it uses less digits than its factorization.

4201340300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41718 (or 41708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4201340300224 its reverse (4220030431024), we get a palindrome (8421370731248).

The spelling of 4201340300224 in words is "four trillion, two hundred one billion, three hundred forty million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2204 3089 4408 6178 8816 12356 17632 24712 35264 38569 49424 58691 77138 89581 98848 117382 154276 179162 197696 234764 308552 358324 469528 617104 716648 732811 939056 1118501 1234208 1433296 1465622 1702039 1878112 2237002 2468416 2866592 2931244 3404078 3756224 4474004 5733184 5862488 6808156 8948008 11724976 13616312 17896016 21251519 23449952 27232624 35792032 42503038 46899904 54465248 71584064 85006076 108930496 119139641 170012152 238279282 340024304 476558564 680048608 953117128 1360097216 1906234256 2263653179 3455049589 3812468512 4527306358 6910099178 7624937024 9054612716 13820198356 18109225432 27640396712 36218450864 55280793424 65645942191 72436901728 110561586848 131291884382 144873803456 221123173696 262583768764 525167537528 1050335075056 2100670150112 4201340300224