Search a number
-
+
21114324480 = 293517915359
BaseRepresentation
bin10011101010100000…
…110000011000000000
32000111111022211001210
4103222200300120000
5321220231340410
613411053130120
71345142540214
oct235240603000
960444284053
1021114324480
118a55538547
124113189940
131cb6502632
1410442b2944
158389d1220
hex4ea830600

21114324480 has 160 divisors (see below), whose sum is σ = 67881369600. Its totient is φ = 5598666752.

The previous prime is 21114324449. The next prime is 21114324521. The reversal of 21114324480 is 8442341112.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367041 + ... + 1382399.

It is an arithmetic number, because the mean of its divisors is an integer number (424258560).

Almost surely, 221114324480 is an apocalyptic number.

21114324480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33940684800).

21114324480 is an abundant number, since it is smaller than the sum of its proper divisors (46767045120).

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

21114324480 is a wasteful number, since it uses less digits than its factorization.

21114324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15564 (or 15548 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 21114324480 its reverse (8442341112), we get a palindrome (29556665592).

The spelling of 21114324480 in words is "twenty-one billion, one hundred fourteen million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 256 320 358 384 480 512 537 640 716 768 895 960 1074 1280 1432 1536 1790 1920 2148 2560 2685 2864 3580 3840 4296 5370 5728 7160 7680 8592 10740 11456 14320 15359 17184 21480 22912 28640 30718 34368 42960 45824 46077 57280 61436 68736 76795 85920 91648 92154 114560 122872 137472 153590 171840 184308 229120 230385 245744 274944 307180 343680 368616 458240 460770 491488 614360 687360 737232 921540 982976 1228720 1374720 1474464 1843080 1965952 2457440 2749261 2948928 3686160 3931904 4914880 5498522 5897856 7372320 7863808 8247783 9829760 10997044 11795712 13746305 14744640 16495566 19659520 21994088 23591424 27492610 29489280 32991132 39319040 41238915 43988176 54985220 58978560 65982264 82477830 87976352 109970440 117957120 131964528 164955660 175952704 219940880 263929056 329911320 351905408 439881760 527858112 659822640 703810816 879763520 1055716224 1319645280 1407621632 1759527040 2111432448 2639290560 3519054080 4222864896 5278581120 7038108160 10557162240 21114324480