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10214414424 = 23321134792621
BaseRepresentation
bin10011000001101001…
…11001100001011000
3222100212020000102100
421200310321201120
5131404342230144
64405322203400
7511060042614
oct114064714130
928325200370
1010214414424
114371852815
121b90953560
13c6a250706
146cc818344
153ebb13269
hex260d39858

10214414424 has 96 divisors (see below), whose sum is σ = 27977788800. Its totient is φ = 3366343680.

The previous prime is 10214414401. The next prime is 10214414443. The reversal of 10214414424 is 42441441201.

It is a happy number.

10214414424 is a `hidden beast` number, since 1 + 0 + 214 + 4 + 1 + 442 + 4 = 666.

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, 3895834 + ... + 3898454.

It is an arithmetic number, because the mean of its divisors is an integer number (291435300).

Almost surely, 210214414424 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 10214414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988894400).

10214414424 is an abundant number, since it is smaller than the sum of its proper divisors (17763374376).

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

10214414424 is a wasteful number, since it uses less digits than its factorization.

10214414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10214414424 its reverse (42441441201), we get a palindrome (52655855625).

The spelling of 10214414424 in words is "ten billion, two hundred fourteen million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 479 678 904 958 1017 1356 1437 1916 2034 2621 2712 2874 3832 4068 4311 5242 5748 7863 8136 8622 10484 11496 15726 17244 20968 23589 31452 34488 47178 54127 62904 94356 108254 162381 188712 216508 296173 324762 433016 487143 592346 649524 888519 974286 1184692 1255459 1299048 1777038 1948572 2369384 2510918 2665557 3554076 3766377 3897144 5021836 5331114 7108152 7532754 10043672 10662228 11299131 15065508 21324456 22598262 30131016 45196524 90393048 141866867 283733734 425600601 567467468 851201202 1134934936 1276801803 1702402404 2553603606 3404804808 5107207212 10214414424