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11244141440 = 27573180963
BaseRepresentation
bin10100111100011001…
…11111101110000000
31002000121211120022222
422132030333232000
5141012000011230
65055424550212
7545432424320
oct123614775600
932017746288
1011244141440
11485002a984
122219782368
1310a269853c
147894a3280
1545c2176e5
hex29e33fb80

11244141440 has 128 divisors (see below), whose sum is σ = 31711979520. Its totient is φ = 3730728960.

The previous prime is 11244141427. The next prime is 11244141451. The reversal of 11244141440 is 4414144211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 98399 + ... + 179361.

It is an arithmetic number, because the mean of its divisors is an integer number (247749840).

Almost surely, 211244141440 is an apocalyptic number.

11244141440 is a gapful number since it is divisible by the number (10) 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 11244141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855989760).

11244141440 is an abundant number, since it is smaller than the sum of its proper divisors (20467838080).

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

11244141440 is an equidigital number, since it uses as much as digits as its factorization.

11244141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81020 (or 81008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 11244141440 its reverse (4414144211), we get a palindrome (15658285651).

The spelling of 11244141440 in words is "eleven billion, two hundred forty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 80963 138880 161926 323852 404815 566741 647704 809630 1133482 1295408 1619260 2266964 2509853 2590816 2833705 3238520 4533928 5019706 5181632 5667410 6477040 9067856 10039412 10363264 11334820 12549265 12954080 17568971 18135712 20078824 22669640 25098530 25908160 35137942 36271424 40157648 45339280 50197060 51816320 70275884 72542848 80315296 87844855 90678560 100394120 140551768 160630592 175689710 181357120 200788240 281103536 321261184 351379420 362714240 401576480 562207072 702758840 803152960 1124414144 1405517680 1606305920 2248828288 2811035360 5622070720 11244141440