Search a number
-
+
421221605712 = 24371179690491
BaseRepresentation
bin1100010000100101100…
…00111010000101010000
31111021020122202122020120
412020102300322011100
523400130212340322
6521301224510240
742301156400415
oct6102260720520
91437218678216
10421221605712
11152703684916
126977631b380
133094b13369b
141655c80010c
15ae54a1ba5c
hex6212c3a150

421221605712 has 80 divisors (see below), whose sum is σ = 1109648263680. Its totient is φ = 137656086400.

The previous prime is 421221605689. The next prime is 421221605767. The reversal of 421221605712 is 217506122124.

It is a super-2 number, since 2×4212216057122 (a number of 24 digits) contains 22 as substring.

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, 264787 + ... + 955277.

It is an arithmetic number, because the mean of its divisors is an integer number (13870603296).

Almost surely, 2421221605712 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 421221605712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554824131840).

421221605712 is an abundant number, since it is smaller than the sum of its proper divisors (688426657968).

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

421221605712 is a wasteful number, since it uses less digits than its factorization.

421221605712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690752 (or 690746 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 421221605712 its reverse (217506122124), we get a palindrome (638727727836).

The spelling of 421221605712 in words is "four hundred twenty-one billion, two hundred twenty-one million, six hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 179 213 284 358 426 537 568 716 852 1074 1136 1432 1704 2148 2864 3408 4296 8592 12709 25418 38127 50836 76254 101672 152508 203344 305016 610032 690491 1380982 2071473 2761964 4142946 5523928 8285892 11047856 16571784 33143568 49024861 98049722 123597889 147074583 196099444 247195778 294149166 370793667 392198888 494391556 588298332 741587334 784397776 988783112 1176596664 1483174668 1977566224 2353193328 2966349336 5932698672 8775450119 17550900238 26326350357 35101800476 52652700714 70203600952 105305401428 140407201904 210610802856 421221605712