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4142570040 = 233457182653
BaseRepresentation
bin1111011011101010…
…1001101000111000
3101200200222100210000
43312322221220320
531440444220130
61523021353000
7204441156450
oct36672515070
911620870700
104142570040
111836411204
12977408760
1351031b79b
142b4266d60
15193a38260
hexf6ea9a38

4142570040 has 160 divisors (see below), whose sum is σ = 15912816480. Its totient is φ = 946867968.

The previous prime is 4142570023. The next prime is 4142570041. The reversal of 4142570040 is 400752414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4142569986 and 4142570013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142570041) 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, 68647 + ... + 114006.

It is an arithmetic number, because the mean of its divisors is an integer number (99455103).

Almost surely, 24142570040 is an apocalyptic number.

4142570040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142570040 is an abundant number, since it is smaller than the sum of its proper divisors (11770246440).

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

4142570040 is a wasteful number, since it uses less digits than its factorization.

4142570040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182683 (or 182670 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4142570040 is about 64362.8001255384. The cubic root of 4142570040 is about 1606.0409702605.

The spelling of 4142570040 in words is "four billion, one hundred forty-two million, five hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 182653 365306 547959 730612 913265 1095918 1278571 1461224 1643877 1826530 2191836 2557142 2739795 3287754 3653060 3835713 4383672 4931631 5114284 5479590 6392855 6575508 7306120 7671426 8219385 9863262 10228568 10959180 11507139 12785710 13151016 14794893 15342852 16438770 19178565 19726524 21918360 23014278 24658155 25571420 29589786 30685704 32877540 34521417 38357130 39453048 46028556 49316310 51142840 57535695 59179572 65755080 69042834 73974465 76714260 92057112 98632620 103564251 115071390 118359144 138085668 147948930 153428520 172607085 197265240 207128502 230142780 276171336 295897860 345214170 414257004 460285560 517821255 591795720 690428340 828514008 1035642510 1380856680 2071285020 4142570040