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421144064 = 2911374347
BaseRepresentation
bin11001000110100…
…010011000000000
31002100110100001022
4121012202120000
51330303102224
6105442325012
713302444155
oct3106423000
91070410038
10421144064
111a67a7850
12b9059768
1369335693
143dd0a22c
1526e8d65e
hex191a2600

421144064 has 160 divisors (see below), whose sum is σ = 985222656. Its totient is φ = 178053120.

The previous prime is 421144001. The next prime is 421144109. The reversal of 421144064 is 460441124.

It is a congruent number.

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, 8960489 + ... + 8960535.

Almost surely, 2421144064 is an apocalyptic number.

421144064 is a gapful number since it is divisible by the number (44) 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 421144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492611328).

421144064 is an abundant number, since it is smaller than the sum of its proper divisors (564078592).

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

421144064 is a wasteful number, since it uses less digits than its factorization.

421144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 421144064 is about 20521.7948532773. The cubic root of 421144064 is about 749.5666023443.

Adding to 421144064 its reverse (460441124), we get a palindrome (881585188).

The spelling of 421144064 in words is "four hundred twenty-one million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 37 43 44 47 64 74 86 88 94 128 148 172 176 188 256 296 344 352 376 407 473 512 517 592 688 704 752 814 946 1034 1184 1376 1408 1504 1591 1628 1739 1892 2021 2068 2368 2752 2816 3008 3182 3256 3478 3784 4042 4136 4736 5504 5632 6016 6364 6512 6956 7568 8084 8272 9472 11008 12032 12728 13024 13912 15136 16168 16544 17501 18944 19129 22016 22231 24064 25456 26048 27824 30272 32336 33088 35002 38258 44462 50912 52096 55648 60544 64672 66176 70004 74777 76516 88924 101824 104192 111296 121088 129344 132352 140008 149554 153032 177848 203648 208384 222592 242176 258688 264704 280016 299108 306064 355696 407296 445184 517376 560032 598216 612128 711392 814592 822547 890368 1034752 1120064 1196432 1224256 1422784 1645094 2240128 2392864 2448512 2845568 3290188 4480256 4785728 4897024 5691136 6580376 8960512 9571456 9794048 11382272 13160752 19142912 26321504 38285824 52643008 105286016 210572032 421144064