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21354404240 = 2451330766883
BaseRepresentation
bin10011111000110100…
…100101100110010000
32001010020002010120202
4103320310211212100
5322213211413430
613450550554332
71354116304211
oct237064454620
961106063522
1021354404240
119069005a74
12417b6689a8
132024180870
141068129408
1584eb05d45
hex4f8d25990

21354404240 has 80 divisors (see below), whose sum is σ = 53643108288. Its totient is φ = 7858902528.

The previous prime is 21354404233. The next prime is 21354404249. The reversal of 21354404240 is 4240445312.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21354404249) 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, 285839 + ... + 352721.

Almost surely, 221354404240 is an apocalyptic number.

21354404240 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 21354404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26821554144).

21354404240 is an abundant number, since it is smaller than the sum of its proper divisors (32288704048).

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

21354404240 is a wasteful number, since it uses less digits than its factorization.

21354404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67216 (or 67210 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 21354404240 its reverse (4240445312), we get a palindrome (25594849552).

The spelling of 21354404240 in words is "twenty-one billion, three hundred fifty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 307 520 614 1040 1228 1535 2456 3070 3991 4912 6140 7982 12280 15964 19955 24560 31928 39910 63856 66883 79820 133766 159640 267532 319280 334415 535064 668830 869479 1070128 1337660 1738958 2675320 3477916 4347395 5350640 6955832 8694790 13911664 17389580 20533081 34779160 41066162 69558320 82132324 102665405 164264648 205330810 266930053 328529296 410661620 533860106 821323240 1067720212 1334650265 1642646480 2135440424 2669300530 4270880848 5338601060 10677202120 21354404240