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42330264266240 = 29519498483971
BaseRepresentation
bin10011001111111110010000…
…10111010110011000000000
312112212201210220020220112022
421213333020113112120000
521022014340123004430
6230010131022421012
711626155260353466
oct1147771027263000
9175781726226468
1042330264266240
11125401896a3335
1248b7a7ba31768
131a8095a9bb882
14a64b1d666836
154d61922d34e5
hex267fc85d6600

42330264266240 has 80 divisors (see below), whose sum is σ = 101545509265200. Its totient is φ = 16923416125440.

The previous prime is 42330264266197. The next prime is 42330264266261. The reversal of 42330264266240 is 4266246203324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42330264266191 and 42330264266200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747455 + ... + 9231425.

It is an arithmetic number, because the mean of its divisors is an integer number (1269318865815).

Almost surely, 242330264266240 is an apocalyptic number.

42330264266240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42330264266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50772754632600).

42330264266240 is an abundant number, since it is smaller than the sum of its proper divisors (59215244998960).

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

42330264266240 is an equidigital number, since it uses as much as digits as its factorization.

42330264266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485943 (or 8485927 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 44.

The spelling of 42330264266240 in words is "forty-two trillion, three hundred thirty billion, two hundred sixty-four million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1949 2560 3898 7796 9745 15592 19490 31184 38980 62368 77960 124736 155920 249472 311840 498944 623680 997888 1247360 2494720 4989440 8483971 16967942 33935884 42419855 67871768 84839710 135743536 169679420 271487072 339358840 542974144 678717680 1085948288 1357435360 2171896576 2714870720 4343793152 5429741440 10859482880 16535259479 21718965760 33070518958 66141037916 82676297395 132282075832 165352594790 264564151664 330705189580 529128303328 661410379160 1058256606656 1322820758320 2116513213312 2645641516640 4233026426624 5291283033280 8466052853248 10582566066560 21165132133120 42330264266240