Search a number
-
+
1421168958 = 23211217131293
BaseRepresentation
bin101010010110101…
…0101000100111110
310200001011212022100
41110231111010332
510402304401313
6353004325530
750134510506
oct12455250476
93601155270
101421168958
1166a238300
12337b438a6
13198580ca1
14d6a62a06
1584b77173
hex54b5513e

1421168958 has 144 divisors (see below), whose sum is σ = 3623347728. Its totient is φ = 400857600.

The previous prime is 1421168953. The next prime is 1421169007. The reversal of 1421168958 is 8598611241.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421168951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4850260 + ... + 4850552.

It is an arithmetic number, because the mean of its divisors is an integer number (25162137).

Almost surely, 21421168958 is an apocalyptic number.

1421168958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421168958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811673864).

1421168958 is an abundant number, since it is smaller than the sum of its proper divisors (2202178770).

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

1421168958 is a wasteful number, since it uses less digits than its factorization.

1421168958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 1421168958 is about 37698.3946342547. The cubic root of 1421168958 is about 1124.2992068067.

The spelling of 1421168958 in words is "one billion, four hundred twenty-one million, one hundred sixty-eight thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 131 153 187 198 242 262 293 306 363 374 393 561 586 726 786 879 1089 1122 1179 1441 1683 1758 2057 2178 2227 2358 2637 2882 3223 3366 4114 4323 4454 4981 5274 6171 6446 6681 8646 9669 9962 12342 12969 13362 14943 15851 18513 19338 20043 24497 25938 29007 29886 31702 35453 37026 38383 40086 44829 47553 48994 54791 58014 70906 73491 76766 89658 95106 106359 109582 115149 142659 146982 164373 212718 220473 230298 269467 285318 319077 328746 345447 422213 440946 493119 538934 602701 638154 652511 690894 808401 844426 986238 1205402 1266639 1305022 1616802 1808103 1957533 2425203 2533278 3616206 3799917 3915066 4644343 4850406 5424309 5872599 7177621 7599834 9288686 10848618 11745198 13933029 14355242 21532863 27866058 41799087 43065726 64598589 78953831 83598174 129197178 157907662 236861493 473722986 710584479 1421168958