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21340412324 = 227112171919501
BaseRepresentation
bin10011110111111111…
…001101100110100100
32001002020202021021122
4103313333031212210
5322201121143244
613445331033112
71353556340360
oct236777154644
961066667248
1021340412324
119061119700
124176a3b798
1320212c201a
1410663262a0
1584d7901ee
hex4f7fcd9a4

21340412324 has 144 divisors (see below), whose sum is σ = 52290322560. Its totient is φ = 7413120000.

The previous prime is 21340412297. The next prime is 21340412333. The reversal of 21340412324 is 42321404312.

It is a junction number, because it is equal to n+sod(n) for n = 21340412293 and 21340412302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084574 + ... + 1104074.

It is an arithmetic number, because the mean of its divisors is an integer number (363127240).

Almost surely, 221340412324 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 21340412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26145161280).

21340412324 is an abundant number, since it is smaller than the sum of its proper divisors (30949910236).

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

21340412324 is a wasteful number, since it uses less digits than its factorization.

21340412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19570 (or 19557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 21340412324 its reverse (42321404312), we get a palindrome (63661816636).

The spelling of 21340412324 in words is "twenty-one billion, three hundred forty million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 19 22 28 34 38 44 68 76 77 119 121 133 154 187 209 238 242 266 308 323 374 418 476 484 532 646 748 836 847 1292 1309 1463 1694 2057 2261 2299 2618 2926 3388 3553 4114 4522 4598 5236 5852 7106 8228 9044 9196 14212 14399 16093 19501 24871 28798 32186 39002 39083 49742 57596 64372 78004 78166 99484 136507 156332 214511 273014 273581 331517 370519 429022 546028 547162 663034 741038 858044 1094324 1326068 1482076 1501577 2320619 2359621 2593633 3003154 3646687 4075709 4641238 4719242 5187266 6006308 6298823 7293374 8151418 9282476 9438484 10374532 12597646 14586748 16302836 16517347 25195292 25526809 28529963 33034694 40113557 44091761 44832799 51053618 57059926 66069388 69287053 80227114 88183522 89665598 102107236 114119852 138574106 160454228 176367044 179331196 277148212 280794899 313829593 485009371 561589798 627659186 762157583 970018742 1123179596 1255318372 1524315166 1940037484 3048630332 5335103081 10670206162 21340412324