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21404204340 = 22352383186871
BaseRepresentation
bin10011111011110010…
…100011110100110100
32001020200210020110220
4103323302203310310
5322313434014330
613455530214340
71355262510051
oct237362436464
961220706426
1021404204340
11909412a582
1241942843b0
132031598c8c
1410709b0028
15854191710
hex4fbca3d34

21404204340 has 96 divisors (see below), whose sum is σ = 63291303936. Its totient is φ = 5393815680.

The previous prime is 21404204321. The next prime is 21404204359. The reversal of 21404204340 is 4340240412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21404204321) and next prime (21404204359).

It is a self number, because there is not a number n which added to its sum of digits gives 21404204340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21105 + ... + 207975.

It is an arithmetic number, because the mean of its divisors is an integer number (659284416).

Almost surely, 221404204340 is an apocalyptic number.

21404204340 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 21404204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31645651968).

21404204340 is an abundant number, since it is smaller than the sum of its proper divisors (41887099596).

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

21404204340 is a wasteful number, since it uses less digits than its factorization.

21404204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186989 (or 186987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21404204340 its reverse (4340240412), we get a palindrome (25744444752).

The spelling of 21404204340 in words is "twenty-one billion, four hundred four million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 83 92 115 138 166 230 249 276 332 345 415 460 498 690 830 996 1245 1380 1660 1909 2490 3818 4980 5727 7636 9545 11454 19090 22908 28635 38180 57270 114540 186871 373742 560613 747484 934355 1121226 1868710 2242452 2803065 3737420 4298033 5606130 8596066 11212260 12894099 15510293 17192132 21490165 25788198 31020586 42980330 46530879 51576396 62041172 64470495 77551465 85960660 93061758 128940990 155102930 186123516 232654395 257881980 310205860 356736739 465308790 713473478 930617580 1070210217 1426946956 1783683695 2140420434 3567367390 4280840868 5351051085 7134734780 10702102170 21404204340