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4290503915240 = 235898531412893
BaseRepresentation
bin111110011011110101111…
…101100011011011101000
3120012011112121001122022022
4332123311331203123220
51030243423000241430
613043010313044012
7621656454355244
oct76336575433350
916164477048268
104290503915240
111404657674934
125936410b6608
1325179246307a
1410b939213424
1576914b494e5
hex3e6f5f636e8

4290503915240 has 64 divisors (see below), whose sum is σ = 9773552955600. Its totient is φ = 1694927849472.

The previous prime is 4290503915209. The next prime is 4290503915263. The reversal of 4290503915240 is 425193050924.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 54094386724 + 4236409528516 = 232582^2 + 2058254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4290503915191 and 4290503915200.

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, 2330234 + ... + 3743126.

Almost surely, 24290503915240 is an apocalyptic number.

4290503915240 is a gapful number since it is divisible by the number (40) 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 4290503915240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886776477800).

4290503915240 is an abundant number, since it is smaller than the sum of its proper divisors (5483049040360).

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

4290503915240 is a wasteful number, since it uses less digits than its factorization.

4290503915240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413846 (or 1413842 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 4290503915240 in words is "four trillion, two hundred ninety billion, five hundred three million, nine hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 853 890 1706 1780 3412 3560 4265 6824 8530 17060 34120 75917 151834 303668 379585 607336 759170 1412893 1518340 2825786 3036680 5651572 7064465 11303144 14128930 28257860 56515720 125747477 251494954 502989908 628737385 1005979816 1205197729 1257474770 2410395458 2514949540 4820790916 5029899080 6025988645 9641581832 12051977290 24103954580 48207909160 107262597881 214525195762 429050391524 536312989405 858100783048 1072625978810 2145251957620 4290503915240