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4142047560 = 2335716729527
BaseRepresentation
bin1111011011100010…
…1010000101001000
3101200122222211001220
43312320222011020
531440331010220
61523002242040
7204433552260
oct36670520510
911618884056
104142047560
111836094702
129771b6320
13510197a21
142b416c7a0
15193983540
hexf6e2a148

4142047560 has 128 divisors (see below), whose sum is σ = 14286827520. Its totient is φ = 941052672.

The previous prime is 4142047543. The next prime is 4142047571. The reversal of 4142047560 is 657402414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125517 + ... + 155043.

It is an arithmetic number, because the mean of its divisors is an integer number (111615840).

Almost surely, 24142047560 is an apocalyptic number.

4142047560 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 4142047560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143413760).

4142047560 is an abundant number, since it is smaller than the sum of its proper divisors (10144779960).

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

4142047560 is a wasteful number, since it uses less digits than its factorization.

4142047560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29715 (or 29711 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4142047560 is about 64358.7411312558. The cubic root of 4142047560 is about 1605.9734469953.

Adding to 4142047560 its reverse (657402414), we get a palindrome (4799449974).

The spelling of 4142047560 in words is "four billion, one hundred forty-two million, forty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 167 168 210 280 334 420 501 668 835 840 1002 1169 1336 1670 2004 2338 2505 3340 3507 4008 4676 5010 5845 6680 7014 9352 10020 11690 14028 17535 20040 23380 28056 29527 35070 46760 59054 70140 88581 118108 140280 147635 177162 206689 236216 295270 354324 413378 442905 590540 620067 708648 826756 885810 1033445 1181080 1240134 1653512 1771620 2066890 2480268 3100335 3543240 4133780 4931009 4960536 6200670 8267560 9862018 12401340 14793027 19724036 24655045 24802680 29586054 34517063 39448072 49310090 59172108 69034126 73965135 98620180 103551189 118344216 138068252 147930270 172585315 197240360 207102378 276136504 295860540 345170630 414204756 517755945 591721080 690341260 828409512 1035511890 1380682520 2071023780 4142047560