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21404123424 = 2533128919219
BaseRepresentation
bin10011111011110010…
…010000000100100000
32001020200122010111000
4103323302100010200
5322313423422144
613455524352000
71355262022125
oct237362200440
961220563430
1021404123424
119094084802
124194245600
13203156b1b8
14107098c74c
15854177769
hex4fbc90120

21404123424 has 96 divisors (see below), whose sum is σ = 62480376000. Its totient is φ = 7128801792.

The previous prime is 21404123381. The next prime is 21404123437. The reversal of 21404123424 is 42432140412.

21404123424 is a `hidden beast` number, since 2 + 1 + 404 + 1 + 234 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104087 + ... + 1123305.

It is an arithmetic number, because the mean of its divisors is an integer number (650837250).

Almost surely, 221404123424 is an apocalyptic number.

21404123424 is a gapful number since it is divisible by the number (24) 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 21404123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240188000).

21404123424 is an abundant number, since it is smaller than the sum of its proper divisors (41076252576).

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

21404123424 is a wasteful number, since it uses less digits than its factorization.

21404123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20527 (or 20513 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21404123424 its reverse (42432140412), we get a palindrome (63836263836).

The spelling of 21404123424 in words is "twenty-one billion, four hundred four million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1289 2578 3867 5156 7734 10312 11601 15468 19219 20624 23202 30936 34803 38438 41248 46404 57657 61872 69606 76876 92808 115314 123744 139212 153752 172971 185616 230628 278424 307504 345942 371232 461256 518913 556848 615008 691884 922512 1037826 1113696 1383768 1845024 2075652 2767536 4151304 5535072 8302608 16605216 24773291 49546582 74319873 99093164 148639746 198186328 222959619 297279492 396372656 445919238 594558984 668878857 792745312 891838476 1189117968 1337757714 1783676952 2378235936 2675515428 3567353904 5351030856 7134707808 10702061712 21404123424