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11414312400 = 243529511927
BaseRepresentation
bin10101010000101100…
…01001010111010000
31002110111001011000010
422220112021113100
5141334030444100
65124344154520
7552600024501
oct125026112720
932414034003
1011414312400
114928099937
122266768a40
1310cba0a60a
147a3d1cba8
1546c12d750
hex2a85895d0

11414312400 has 60 divisors (see below), whose sum is σ = 36563851232. Its totient is φ = 3043816320.

The previous prime is 11414312381. The next prime is 11414312443. The reversal of 11414312400 is 421341411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4754764 + ... + 4757163.

Almost surely, 211414312400 is an apocalyptic number.

11414312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414312400 is an abundant number, since it is smaller than the sum of its proper divisors (25149538832).

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

11414312400 is a wasteful number, since it uses less digits than its factorization.

11414312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9511948 (or 9511937 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11414312400 its reverse (421341411), we get a palindrome (11835653811).

The spelling of 11414312400 in words is "eleven billion, four hundred fourteen million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9511927 19023854 28535781 38047708 47559635 57071562 76095416 95119270 114143124 142678905 152190832 190238540 228286248 237798175 285357810 380477080 456572496 475596350 570715620 713394525 760954160 951192700 1141431240 1426789050 1902385400 2282862480 2853578100 3804770800 5707156200 11414312400