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3244224201040 = 245192971158089
BaseRepresentation
bin101111001101011010110…
…101001100000101010000
3102111010220120012010220101
4233031122311030011100
5411123132343413130
610522213115422144
7453246620466604
oct57153265140520
912433816163811
103244224201040
11104095aa91759
12444904154954
131a6c10101974
14b30425bb504
15595ca4601ca
hex2f35ad4c150

3244224201040 has 120 divisors (see below), whose sum is σ = 8042782182120. Its totient is φ = 1216715046912.

The previous prime is 3244224200969. The next prime is 3244224201079. The reversal of 3244224201040 is 401024224423.

It can be written as a sum of positive squares in 4 ways, for example, as 910894630464 + 2333329570576 = 954408^2 + 1527524^2 .

It is a super-2 number, since 2×32442242010402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222316 + ... + 3380404.

It is an arithmetic number, because the mean of its divisors is an integer number (67023184851).

Almost surely, 23244224201040 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 3244224201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021391091060).

3244224201040 is an abundant number, since it is smaller than the sum of its proper divisors (4798557981080).

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

3244224201040 is a wasteful number, since it uses less digits than its factorization.

3244224201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158237 (or 1158212 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 3244224201040 its reverse (401024224423), we get a palindrome (3645248425463).

The spelling of 3244224201040 in words is "three trillion, two hundred forty-four billion, two hundred twenty-four million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 361 380 388 485 722 760 776 970 1444 1520 1552 1805 1843 1940 2888 3610 3686 3880 5776 7220 7372 7760 9215 14440 14744 18430 28880 29488 35017 36860 70034 73720 140068 147440 175085 280136 350170 560272 700340 1158089 1400680 2316178 2801360 4632356 5790445 9264712 11580890 18529424 22003691 23161780 44007382 46323560 88014764 92647120 110018455 112334633 176029528 220036910 224669266 352059056 418070129 440073820 449338532 561673165 836140258 880147640 898677064 1123346330 1672280516 1760295280 1797354128 2090350645 2134358027 2246692660 3344561032 4180701290 4268716054 4493385320 6689122064 8361402580 8537432108 8986770640 10671790135 16722805160 17074864216 21343580270 33445610320 34149728432 40552802513 42687160540 81105605026 85374321080 162211210052 170748642160 202764012565 324422420104 405528025130 648844840208 811056050260 1622112100520 3244224201040