Search a number
-
+
21399334000 = 245311288427
BaseRepresentation
bin10011111011011111…
…111110110001110000
32001020100121210121221
4103323133332301300
5322311212142000
613455233554424
71355203223602
oct237337766160
961210553557
1021399334000
119091403400
124192715a14
132030582215
1410700a3172
15853a2d61a
hex4fb7fec70

21399334000 has 120 divisors (see below), whose sum is σ = 56875828464. Its totient is φ = 7781488000.

The previous prime is 21399333973. The next prime is 21399334031. The reversal of 21399334000 is 43399312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197787 + ... + 286213.

Almost surely, 221399334000 is an apocalyptic number.

21399334000 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 21399334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28437914232).

21399334000 is an abundant number, since it is smaller than the sum of its proper divisors (35476494464).

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

21399334000 is a wasteful number, since it uses less digits than its factorization.

21399334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88472 (or 88445 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 21399334000 in words is "twenty-one billion, three hundred ninety-nine million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 88427 121000 176854 242000 353708 442135 707416 884270 972697 1414832 1768540 1945394 2210675 3537080 3890788 4421350 4863485 7074160 7781576 8842700 9726970 10699667 11053375 15563152 17685400 19453940 21399334 22106750 24317425 35370800 38907880 42798668 44213500 48634850 53498335 77815760 85597336 88427000 97269700 106996670 121587125 171194672 176854000 194539400 213993340 243174250 267491675 389078800 427986680 486348500 534983350 855973360 972697000 1069966700 1337458375 1945394000 2139933400 2674916750 4279866800 5349833500 10699667000 21399334000