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2403513452142 = 234115922860559
BaseRepresentation
bin100010111110011100100…
…100001100011001101110
322111202212222121002020000
4202332130210030121232
5303334343420432032
65040054150405130
7335435206153545
oct42763444143156
98452788532200
102403513452142
11847362758840
123299979607a6
1314585ba6bc7a
148448b51315c
15427c308de7c
hex22f9c90c66e

2403513452142 has 80 divisors (see below), whose sum is σ = 5974835961600. Its totient is φ = 715992676560.

The previous prime is 2403513452069. The next prime is 2403513452149. The reversal of 2403513452142 is 2412543153042.

It is a happy number.

2403513452142 is a `hidden beast` number, since 2 + 40 + 3 + 51 + 3 + 4 + 521 + 42 = 666.

2403513452142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2403513452097 and 2403513452106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403513452149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11325142 + ... + 11535417.

It is an arithmetic number, because the mean of its divisors is an integer number (74685449520).

Almost surely, 22403513452142 is an apocalyptic number.

2403513452142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2403513452142 is an abundant number, since it is smaller than the sum of its proper divisors (3571322509458).

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

2403513452142 is a wasteful number, since it uses less digits than its factorization.

2403513452142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22860643 (or 22860634 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2403513452142 in words is "two trillion, four hundred three billion, five hundred thirteen million, four hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 531 594 649 891 1062 1298 1593 1782 1947 3186 3894 4779 5841 9558 11682 17523 35046 52569 105138 22860559 45721118 68581677 137163354 205745031 251466149 411490062 502932298 617235093 754398447 1234470186 1348772981 1508796894 1851705279 2263195341 2697545962 3703410558 4046318943 4526390682 6789586023 8092637886 12138956829 13579172046 14836502791 20368758069 24277913658 29673005582 36416870487 40737516138 44509508373 72833740974 89019016746 109250611461 133528525119 218501222922 267057050238 400585575357 801171150714 1201756726071 2403513452142