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42342203204320 = 2553141208213037
BaseRepresentation
bin10011010000010100011111…
…11110110010001011100000
312112220212121221110210200011
421220022033332302023200
521022213313010014240
6230015423431334304
711630060160561235
oct1150121776621340
9175825557423604
1042342203204320
1112545255939208
1248ba252221394
131a81b112c3c86
14a6553310b78c
154d66404e16ea
hex26828ffb22e0

42342203204320 has 96 divisors (see below), whose sum is σ = 105778886121216. Its totient is φ = 15990761164800.

The previous prime is 42342203204317. The next prime is 42342203204321. The reversal of 42342203204320 is 2340230224324.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42342203204321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103903159 + ... + 104309878.

It is an arithmetic number, because the mean of its divisors is an integer number (1101863397096).

Almost surely, 242342203204320 is an apocalyptic number.

42342203204320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42342203204320 is an abundant number, since it is smaller than the sum of its proper divisors (63436682916896).

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

42342203204320 is a wasteful number, since it uses less digits than its factorization.

42342203204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208213124 (or 208213116 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 42342203204320 its reverse (2340230224324), we get a palindrome (44682433428644).

The spelling of 42342203204320 in words is "forty-two trillion, three hundred forty-two billion, two hundred three million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 155 160 164 205 248 310 328 410 496 620 656 820 992 1240 1271 1312 1640 2480 2542 3280 4960 5084 6355 6560 10168 12710 20336 25420 40672 50840 101680 203360 208213037 416426074 832852148 1041065185 1665704296 2082130370 3331408592 4164260740 6454604147 6662817184 8328521480 8536734517 12909208294 16657042960 17073469034 25818416588 32273020735 33314085920 34146938068 42683672585 51636833176 64546041470 68293876136 85367345170 103273666352 129092082940 136587752272 170734690340 206547332704 258184165880 264638770027 273175504544 341469380680 516368331760 529277540054 682938761360 1032736663520 1058555080108 1323193850135 1365877522720 2117110160216 2646387700270 4234220320432 5292775400540 8468440640864 10585550801080 21171101602160 42342203204320