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5142411440 = 2453110719379
BaseRepresentation
bin1001100101000001…
…01111100010110000
3111021101100120022222
410302200233202300
541012424131230
62210135420212
7241301530115
oct46240574260
914241316288
105142411440
1121a9836911
12bb6224668
1363c50170a
1436ad7290c
152016d76e5
hex13282f8b0

5142411440 has 80 divisors (see below), whose sum is σ = 12457774080. Its totient is φ = 1971905280.

The previous prime is 5142411383. The next prime is 5142411523. The reversal of 5142411440 is 441142415.

It is a tau number, because it is divible by the number of its divisors (80).

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, 255671 + ... + 275049.

It is an arithmetic number, because the mean of its divisors is an integer number (155722176).

Almost surely, 25142411440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228887040).

5142411440 is an abundant number, since it is smaller than the sum of its proper divisors (7315362640).

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

5142411440 is a wasteful number, since it uses less digits than its factorization.

5142411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19530 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 5142411440 is about 71710.6089780306. The cubic root of 5142411440 is about 1726.0588824686.

Adding to 5142411440 its reverse (441142415), we get a palindrome (5583553855).

The spelling of 5142411440 in words is "five billion, one hundred forty-two million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 107 124 155 214 248 310 428 496 535 620 856 1070 1240 1712 2140 2480 3317 4280 6634 8560 13268 16585 19379 26536 33170 38758 53072 66340 77516 96895 132680 155032 193790 265360 310064 387580 600749 775160 1201498 1550320 2073553 2402996 3003745 4147106 4805992 6007490 8294212 9611984 10367765 12014980 16588424 20735530 24029960 33176848 41471060 48059920 64280143 82942120 128560286 165884240 257120572 321400715 514241144 642801430 1028482288 1285602860 2571205720 5142411440