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4021444413432 = 23321918611579609
BaseRepresentation
bin111010100001010000110…
…001000000011111111000
3112020110001101010202220200
4322201100301000133320
51011341404232212212
612315232010122200
7563353066341645
oct72412061003770
915213041122820
104021444413432
1113105375948a6
1254b471720360
132322b3802474
14dc8d33b8dcc
156e9189406dc
hex3a850c407f8

4021444413432 has 96 divisors (see below), whose sum is σ = 11470811898000. Its totient is φ = 1269246620160.

The previous prime is 4021444413391. The next prime is 4021444413479. The reversal of 4021444413432 is 2343144441204.

4021444413432 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 4 + 1 + 3 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756044 + ... + 3335652.

Almost surely, 24021444413432 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 4021444413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735405949000).

4021444413432 is an abundant number, since it is smaller than the sum of its proper divisors (7449367484568).

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

4021444413432 is a wasteful number, since it uses less digits than its factorization.

4021444413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581501 (or 1581494 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4021444413432 its reverse (2343144441204), we get a palindrome (6364588854636).

The spelling of 4021444413432 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1861 3722 5583 7444 11166 14888 16749 22332 33498 35359 44664 66996 70718 106077 133992 141436 212154 282872 318231 424308 636462 848616 1272924 1579609 2545848 3159218 4738827 6318436 9477654 12636872 14216481 18955308 28432962 30012571 37910616 56865924 60025142 90037713 113731848 120050284 180075426 240100568 270113139 360150852 540226278 720301704 1080452556 2160905112 2939652349 5879304698 8818957047 11758609396 17637914094 23517218792 26456871141 35275828188 52913742282 55853394631 70551656376 105827484564 111706789262 167560183893 211654969128 223413578524 335120367786 446827157048 502680551679 670240735572 1005361103358 1340481471144 2010722206716 4021444413432