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11403240034032 = 24327211586925033
BaseRepresentation
bin1010010111110000011000…
…0100100100111011110000
31111101010202101220211102200
42211330012010210323300
52443312313422042112
640130324240543200
72254566630003600
oct245740604447360
944333671824380
1011403240034032
1136a70a5798890
121342036021b00
136494230aa0a2
142b5cc3b84c00
1514b95775ccdc
hexa5f06124ef0

11403240034032 has 360 divisors, whose sum is σ = 40506945626160. Its totient is φ = 2961257564160.

The previous prime is 11403240034007. The next prime is 11403240034111. The reversal of 11403240034032 is 23043004230411.

11403240034032 is a `hidden beast` number, since 1 + 14 + 0 + 3 + 240 + 0 + 3 + 403 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11403240033987 and 11403240034005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455515788 + ... + 455540820.

It is an arithmetic number, because the mean of its divisors is an integer number (112519293406).

Almost surely, 211403240034032 is an apocalyptic number.

11403240034032 is a gapful number since it is divisible by the number (12) 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 11403240034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253472813080).

11403240034032 is an abundant number, since it is smaller than the sum of its proper divisors (29103705592128).

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

11403240034032 is a wasteful number, since it uses less digits than its factorization.

11403240034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30941 (or 30925 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11403240034032 its reverse (23043004230411), we get a palindrome (34446244264443).

The spelling of 11403240034032 in words is "eleven trillion, four hundred three billion, two hundred forty million, thirty-four thousand, thirty-two".