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4202321334144 = 27397241468133
BaseRepresentation
bin111101001001101101110…
…111101100111110000000
3112212201220222222101020020
4331021231313230332000
51022322323230143034
612534304134213440
7612415303655133
oct75115567547600
915781828871206
104202321334144
11138021592553a
1257a530ab4280
1324637b01c4bb
1410757184421a
15744a3117249
hex3d26ddecf80

4202321334144 has 128 divisors (see below), whose sum is σ = 11324311262880. Its totient is φ = 1380577443840.

The previous prime is 4202321334137. The next prime is 4202321334151. The reversal of 4202321334144 is 4414331232024.

It is an interprime number because it is at equal distance from previous prime (4202321334137) and next prime (4202321334151).

It is a tau number, because it is divible by the number of its divisors (128).

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, 8742702 + ... + 9210834.

Almost surely, 24202321334144 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 4202321334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662155631440).

4202321334144 is an abundant number, since it is smaller than the sum of its proper divisors (7121989928736).

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

4202321334144 is a wasteful number, since it uses less digits than its factorization.

4202321334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468488 (or 468476 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4202321334144 its reverse (4414331232024), we get a palindrome (8616652566168).

The spelling of 4202321334144 in words is "four trillion, two hundred two billion, three hundred twenty-one million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 241 291 384 388 482 582 723 776 964 1164 1446 1552 1928 2328 2892 3104 3856 4656 5784 6208 7712 9312 11568 12416 15424 18624 23136 23377 30848 37248 46272 46754 70131 92544 93508 140262 187016 280524 374032 468133 561048 748064 936266 1122096 1404399 1496128 1872532 2244192 2808798 2992256 3745064 4488384 5617596 7490128 8976768 11235192 14980256 22470384 29960512 44940768 45408901 59921024 89881536 90817802 112820053 136226703 179763072 181635604 225640106 272453406 338460159 363271208 451280212 544906812 676920318 726542416 902560424 1089813624 1353840636 1453084832 1805120848 2179627248 2707681272 2906169664 3610241696 4359254496 5415362544 5812339328 7220483392 8718508992 10830725088 10943545141 14440966784 17437017984 21661450176 21887090282 32830635423 43322900352 43774180564 65661270846 87548361128 131322541692 175096722256 262645083384 350193444512 525290166768 700386889024 1050580333536 1400773778048 2101160667072 4202321334144