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4022301413040 = 243579212146699
BaseRepresentation
bin111010100010000011110…
…110001100111010110000
3112020112021002201212100220
4322202003312030322300
51011400133130204130
612315453022413040
7563413243615041
oct72420366147260
915215232655326
104022301413040
111310937317339
1254b670731180
132323bc221721
14dc9751408c8
156e968cc6410
hex3a883d8ceb0

4022301413040 has 80 divisors (see below), whose sum is σ = 12626971584000. Its totient is φ = 1059036316416.

The previous prime is 4022301413021. The next prime is 4022301413057. The reversal of 4022301413040 is 403141032204.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4022301413040.

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, 106054390 + ... + 106092309.

It is an arithmetic number, because the mean of its divisors is an integer number (157837144800).

Almost surely, 24022301413040 is an apocalyptic number.

4022301413040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022301413040 is an abundant number, since it is smaller than the sum of its proper divisors (8604670170960).

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

4022301413040 is a wasteful number, since it uses less digits than its factorization.

4022301413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212146794 (or 212146788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4022301413040 its reverse (403141032204), we get a palindrome (4425442445244).

The spelling of 4022301413040 in words is "four trillion, twenty-two billion, three hundred one million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 212146699 424293398 636440097 848586796 1060733495 1272880194 1697173592 2121466990 2545760388 3182200485 3394347184 4242933980 5091520776 6364400970 8485867960 10183041552 12728801940 16759589221 16971735920 25457603880 33519178442 50278767663 50915207760 67038356884 83797946105 100557535326 134076713768 167595892210 201115070652 251393838315 268153427536 335191784420 402230141304 502787676630 670383568840 804460282608 1005575353260 1340767137680 2011150706520 4022301413040