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11403438000 = 243532965537
BaseRepresentation
bin10101001111011001…
…01010011110110000
31002102201120200010120
422213230222132300
5141323240004000
65123315130240
7552405423633
oct124754523660
932381520116
1011403438000
114921a41829
122262ba3980
1310c96a0a66
147a26cbc1a
1546b1d16a0
hex2a7b2a7b0

11403438000 has 160 divisors (see below), whose sum is σ = 38033012160. Its totient is φ = 2936012800.

The previous prime is 11403437987. The next prime is 11403438001. The reversal of 11403438000 is 83430411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11403438001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141232 + ... + 206768.

It is an arithmetic number, because the mean of its divisors is an integer number (237706326).

Almost surely, 211403438000 is an apocalyptic number.

11403438000 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 11403438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016506080).

11403438000 is an abundant number, since it is smaller than the sum of its proper divisors (26629574160).

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

11403438000 is a wasteful number, since it uses less digits than its factorization.

11403438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65592 (or 65576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11403438000 its reverse (83430411), we get a palindrome (11486868411).

The spelling of 11403438000 in words is "eleven billion, four hundred three million, four hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 65537 87000 131074 174000 196611 262148 327685 393222 524296 655370 786444 983055 1048592 1310740 1572888 1638425 1900573 1966110 2621480 3145776 3276850 3801146 3932220 4915275 5242960 5701719 6553700 7602292 7864440 8192125 9502865 9830550 11403438 13107400 15204584 15728880 16384250 19005730 19661100 22806876 24576375 26214800 28508595 30409168 32768500 38011460 39322200 45613752 47514325 49152750 57017190 65537000 76022920 78644400 91227504 95028650 98305500 114034380 131074000 142542975 152045840 190057300 196611000 228068760 237571625 285085950 380114600 393222000 456137520 475143250 570171900 712714875 760229200 950286500 1140343800 1425429750 1900573000 2280687600 2850859500 3801146000 5701719000 11403438000