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4421137022500 = 225411238232
BaseRepresentation
bin100000001010110000001…
…0011010011111000100100
3120122122201122022001211011
41000111200103103320210
51034413442034210000
613223013045552004
7634262616431332
oct100254023237044
916578648261734
104421137022500
111454aa2654900
125b4a19a15604
13260bb0555883
14113dac802b52
157a00d36a2ba
hex405604d3e24

4421137022500 has 135 divisors (see below), whose sum is σ = 10629746956983. Its totient is φ = 1607265660000.

The previous prime is 4421137022431. The next prime is 4421137022501. The reversal of 4421137022500 is 52207311244.

It is a happy number.

The square root of 4421137022500 is 2102650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 346617142564 + 4074519879936 = 588742^2 + 2018544^2 .

It is not an unprimeable number, because it can be changed into a prime (4421137022501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1156455589 + ... + 1156459411.

Almost surely, 24421137022500 is an apocalyptic number.

4421137022500 is the 2102650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421137022500

4421137022500 is an abundant number, since it is smaller than the sum of its proper divisors (6208609934483).

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

4421137022500 is an frugal number, since it uses more digits than its factorization.

4421137022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 4421137022500 in words is "four trillion, four hundred twenty-one billion, one hundred thirty-seven million, twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 625 1100 1210 1250 1375 2420 2500 2750 3025 3823 5500 6050 6875 7646 12100 13750 15125 15292 19115 27500 30250 38230 42053 60500 75625 76460 84106 95575 151250 168212 191150 210265 302500 382300 420530 462583 477875 841060 925166 955750 1051325 1850332 1911500 2102650 2312915 2389375 4205300 4625830 4778750 5256625 9251660 9557500 10513250 11564575 14615329 21026500 23129150 26283125 29230658 46258300 52566250 57822875 58461316 73076645 105132500 115645750 146153290 160768619 231291500 289114375 292306580 321537238 365383225 578228750 643074476 730766450 803843095 1156457500 1461532900 1607686190 1768454809 1826916125 3215372380 3536909618 3653832250 4019215475 7073819236 7307664500 8038430950 8842274045 9134580625 16076861900 17684548090 18269161250 20096077375 35369096180 36538322500 40192154750 44211370225 80384309500 88422740450 100480386875 176845480900 200960773750 221056851125 401921547500 442113702250 884227404500 1105284255625 2210568511250 4421137022500