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404642060720 = 245171427208501
BaseRepresentation
bin1011110001101101000…
…10111101100110110000
31102200110012102111011122
411320312202331212300
523112201331420340
6505520123401412
741143256523512
oct5706642754660
91380405374148
10404642060720
11146675992317
1266509983268
132c208294131
14158288cbbb2
15a7d41e8db5
hex5e368bd9b0

404642060720 has 80 divisors (see below), whose sum is σ = 996836385888. Its totient is φ = 152228352000.

The previous prime is 404642060701. The next prime is 404642060723. The reversal of 404642060720 is 27060246404.

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

It is not an unprimeable number, because it can be changed into a prime (404642060723) 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, 1836470 + ... + 2044970.

Almost surely, 2404642060720 is an apocalyptic number.

404642060720 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 404642060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498418192944).

404642060720 is an abundant number, since it is smaller than the sum of its proper divisors (592194325168).

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

404642060720 is a wasteful number, since it uses less digits than its factorization.

404642060720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209958 (or 209952 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 404642060720 in words is "four hundred four billion, six hundred forty-two million, sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1427 2854 5708 7135 11416 14270 22832 24259 28540 48518 57080 97036 114160 121295 194072 208501 242590 388144 417002 485180 834004 970360 1042505 1668008 1940720 2085010 3336016 3544517 4170020 7089034 8340040 14178068 16680080 17722585 28356136 35445170 56712272 70890340 141780680 283561360 297530927 595061854 1190123708 1487654635 2380247416 2975309270 4760494832 5058025759 5950618540 10116051518 11901237080 20232103036 23802474160 25290128795 40464206072 50580257590 80928412144 101160515180 202321030360 404642060720