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11403946000 = 245319932861
BaseRepresentation
bin10101001111011101…
…00110100000010000
31002102202112110222101
422213232212200100
5141323402233000
65123334050144
7552412640656
oct124756464020
932382473871
1011403946000
114922259467
1222631a9954
1310c981b055
147a27c0dd6
1546b281e6a
hex2a7ba6810

11403946000 has 80 divisors (see below), whose sum is σ = 27598220208. Its totient is φ = 4557696000.

The previous prime is 11403945991. The next prime is 11403946027. The reversal of 11403946000 is 64930411.

It can be written as a sum of positive squares in 8 ways, for example, as 2206368784 + 9197577216 = 46972^2 + 95904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11403946000.

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, 3984570 + ... + 3987430.

Almost surely, 211403946000 is an apocalyptic number.

11403946000 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 11403946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799110104).

11403946000 is an abundant number, since it is smaller than the sum of its proper divisors (16194274208).

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

11403946000 is a wasteful number, since it uses less digits than its factorization.

11403946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 11403946000 in words is "eleven billion, four hundred three million, nine hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1993 2000 2861 3986 5722 7972 9965 11444 14305 15944 19930 22888 28610 31888 39860 45776 49825 57220 71525 79720 99650 114440 143050 159440 199300 228880 249125 286100 357625 398600 498250 572200 715250 797200 996500 1144400 1430500 1993000 2861000 3986000 5701973 5722000 11403946 22807892 28509865 45615784 57019730 91231568 114039460 142549325 228078920 285098650 456157840 570197300 712746625 1140394600 1425493250 2280789200 2850986500 5701973000 11403946000