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2424535606140 = 2235432293409831
BaseRepresentation
bin100011010010000001100…
…101010110001101111100
322120210011001111011011020
4203102001211112031330
5304210422103344030
65053452152224140
7340111152421344
oct43220145261574
98523131434136
102424535606140
1185527016222a
12331a8409b050
1314782c13c74b
14854c3471d24
1543103915510
hex2348195637c

2424535606140 has 96 divisors (see below), whose sum is σ = 6949622862336. Its totient is φ = 631230001920.

The previous prime is 2424535606109. The next prime is 2424535606151. The reversal of 2424535606140 is 416065354242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2424535606092 and 2424535606101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5711025 + ... + 6120855.

It is an arithmetic number, because the mean of its divisors is an integer number (72391904816).

Almost surely, 22424535606140 is an apocalyptic number.

2424535606140 is a gapful number since it is divisible by the number (20) 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 2424535606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474811431168).

2424535606140 is an abundant number, since it is smaller than the sum of its proper divisors (4525087256196).

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

2424535606140 is a wasteful number, since it uses less digits than its factorization.

2424535606140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412179 (or 412177 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 2424535606140 in words is "two trillion, four hundred twenty-four billion, five hundred thirty-five million, six hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2293 2580 4586 6879 9172 11465 13758 22930 27516 34395 45860 68790 98599 137580 197198 295797 394396 409831 492995 591594 819662 985990 1183188 1229493 1478985 1639324 1971980 2049155 2458986 2957970 4098310 4917972 5915940 6147465 8196620 12294930 17622733 24589860 35245466 52868199 70490932 88113665 105736398 176227330 211472796 264340995 352454660 528681990 939742483 1057363980 1879484966 2819227449 3758969932 4698712415 5638454898 9397424830 11276909796 14096137245 18794849660 28192274490 40408926769 56384548980 80817853538 121226780307 161635707076 202044633845 242453560614 404089267690 484907121228 606133901535 808178535380 1212267803070 2424535606140