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11200402440 = 2333526933851
BaseRepresentation
bin10100110111001100…
…01001010000001000
31001220120112101201000
422123212021100020
5140414300334230
65051223255000
7544361564343
oct123346112010
931816471630
1011200402440
114828376147
122206baa460
1310965c2b86
1478375945a
15458477b60
hex29b989408

11200402440 has 128 divisors (see below), whose sum is σ = 37358236800. Its totient is φ = 2984889600.

The previous prime is 11200402403. The next prime is 11200402457. The reversal of 11200402440 is 4420400211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2906515 + ... + 2910365.

It is an arithmetic number, because the mean of its divisors is an integer number (291861225).

Almost surely, 211200402440 is an apocalyptic number.

11200402440 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 11200402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679118400).

11200402440 is an abundant number, since it is smaller than the sum of its proper divisors (26157834360).

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

11200402440 is a wasteful number, since it uses less digits than its factorization.

11200402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11200402440 its reverse (4420400211), we get a palindrome (15620802651).

The spelling of 11200402440 in words is "eleven billion, two hundred million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2693 3851 5386 7702 8079 10772 11553 13465 15404 16158 19255 21544 23106 24237 26930 30808 32316 34659 38510 40395 46212 48474 53860 57765 64632 69318 72711 77020 80790 92424 96948 103977 107720 115530 121185 138636 145422 154040 161580 173295 193896 207954 231060 242370 277272 290844 323160 346590 363555 415908 462120 484740 519885 581688 693180 727110 831816 969480 1039770 1386360 1454220 2079540 2908440 4159080 10370743 20741486 31112229 41482972 51853715 62224458 82965944 93336687 103707430 124448916 155561145 186673374 207414860 248897832 280010061 311122290 373346748 414829720 466683435 560020122 622244580 746693496 933366870 1120040244 1244489160 1400050305 1866733740 2240080488 2800100610 3733467480 5600201220 11200402440