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2240033325312 = 28361472910111
BaseRepresentation
bin100000100110001100011…
…001000000000100000000
321221010220202220011200210
4200212030121000010000
5243200042012402222
64433020200114120
7320560054051146
oct40461431000400
97833822804623
102240033325312
11793aa1461902
12302172765940
13133307803503
147a5bd735596
153d405d1cd0c
hex2098c640100

2240033325312 has 144 divisors (see below), whose sum is σ = 6061369825280. Its totient is φ = 734209228800.

The previous prime is 2240033325307. The next prime is 2240033325347. The reversal of 2240033325312 is 2135233300422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2240033325312.

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, 221539137 + ... + 221549247.

Almost surely, 22240033325312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240033325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030684912640).

2240033325312 is an abundant number, since it is smaller than the sum of its proper divisors (3821336499968).

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

2240033325312 is a wasteful number, since it uses less digits than its factorization.

2240033325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14920 (or 14906 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 2240033325312 its reverse (2135233300422), we get a palindrome (4375266625734).

The spelling of 2240033325312 in words is "two trillion, two hundred forty billion, thirty-three million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 4729 5856 7808 9458 10111 11712 14187 15616 18916 20222 23424 28374 30333 37832 40444 46848 56748 60666 75664 80888 113496 121332 151328 161776 226992 242664 288469 302656 323552 453984 485328 576938 605312 616771 647104 865407 907968 970656 1153876 1210624 1233542 1294208 1730814 1815936 1850313 1941312 2307752 2467084 2588416 3461628 3631872 3700626 3882624 4615504 4934168 6923256 7401252 7765248 9231008 9868336 13846512 14802504 18462016 19736672 27693024 29605008 36924032 39473344 47814919 55386048 59210016 73848064 78946688 95629838 110772096 118420032 143444757 157893376 191259676 221544192 236840064 286889514 382519352 473680128 573779028 765038704 1147558056 1530077408 2295116112 2916710059 3060154816 4590232224 5833420118 6120309632 8750130177 9180464448 11666840236 12240619264 17500260354 18360928896 23333680472 35000520708 36721857792 46667360944 70001041416 93334721888 140002082832 186669443776 280004165664 373338887552 560008331328 746677775104 1120016662656 2240033325312