Search a number
-
+
21414155408 = 2429611395443
BaseRepresentation
bin10011111100011000…
…100001010010010000
32001021101111210202222
4103330120201102100
5322324010433113
613500523400212
71355443213652
oct237430412220
961241453688
1021414155408
1190998069a8
124197683068
132033671499
1410720406d2
15854ea9e08
hex4fc621490

21414155408 has 80 divisors (see below), whose sum is σ = 43946145600. Its totient is φ = 10093386240.

The previous prime is 21414155401. The next prime is 21414155443. The reversal of 21414155408 is 80455141412.

It is not an unprimeable number, because it can be changed into a prime (21414155401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3931535 + ... + 3936977.

It is an arithmetic number, because the mean of its divisors is an integer number (549326820).

Almost surely, 221414155408 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 21414155408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973072800).

21414155408 is an abundant number, since it is smaller than the sum of its proper divisors (22531990192).

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

21414155408 is a wasteful number, since it uses less digits than its factorization.

21414155408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 21414155408 in words is "twenty-one billion, four hundred fourteen million, one hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 58 61 116 122 139 232 244 278 464 488 556 976 1112 1769 2224 3538 4031 5443 7076 8062 8479 10886 14152 16124 16958 21772 28304 32248 33916 43544 64496 67832 87088 135664 157847 245891 315694 332023 491782 631388 664046 756577 983564 1262776 1328092 1513154 1967128 2525552 2656184 3026308 3934256 5312368 6052616 9628667 12105232 19257334 21940733 38514668 43881466 46151197 77029336 87762932 92302394 154058672 175525864 184604788 351051728 369209576 738419152 1338384713 2676769426 5353538852 10707077704 21414155408