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2250235441344 = 263111187897601
BaseRepresentation
bin100000101111101100011…
…110111111000011000000
321222010020202222100220010
4200233230132333003000
5243331440233110334
64441424402544520
7321400634442522
oct40575436770300
97863222870803
102250235441344
11798357274660
1230413b368140
13134272339167
147acaa66ba12
153d8018020e9
hex20bec7bf0c0

2250235441344 has 112 divisors (see below), whose sum is σ = 6500476768896. Its totient is φ = 681314304000.

The previous prime is 2250235441277. The next prime is 2250235441357. The reversal of 2250235441344 is 4431445320522.

2250235441344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2058144 + ... + 2955744.

Almost surely, 22250235441344 is an apocalyptic number.

2250235441344 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 2250235441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250238384448).

2250235441344 is an abundant number, since it is smaller than the sum of its proper divisors (4250241327552).

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

2250235441344 is a wasteful number, since it uses less digits than its factorization.

2250235441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898814 (or 898804 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 2250235441344 in words is "two trillion, two hundred fifty billion, two hundred thirty-five million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1187 2112 2374 3561 4748 7122 9496 13057 14244 18992 26114 28488 37984 39171 52228 56976 75968 78342 104456 113952 156684 208912 227904 313368 417824 626736 835648 897601 1253472 1795202 2506944 2692803 3590404 5385606 7180808 9873611 10771212 14361616 19747222 21542424 28723232 29620833 39494444 43084848 57446464 59241666 78988888 86169696 118483332 157977776 172339392 236966664 315955552 473933328 631911104 947866656 1065452387 1895733312 2130904774 3196357161 4261809548 6392714322 8523619096 11719976257 12785428644 17047238192 23439952514 25570857288 34094476384 35159928771 46879905028 51141714576 68188952768 70319857542 93759810056 102283429152 140639715084 187519620112 204566858304 281279430168 375039240224 562558860336 750078480448 1125117720672 2250235441344