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3141144240 = 2435131397243
BaseRepresentation
bin1011101100111010…
…0000111010110000
322002220121122211120
42323032200322300
522413113103430
61235405342240
7140561166633
oct27316407260
98086548746
103141144240
111372104183
12737b67980
133b0a02640
1421b267c1a
15135b74610
hexbb3a0eb0

3141144240 has 160 divisors (see below), whose sum is σ = 10563490560. Its totient is φ = 767536128.

The previous prime is 3141144191. The next prime is 3141144241. The reversal of 3141144240 is 424411413.

3141144240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3141144240.

It is not an unprimeable number, because it can be changed into a prime (3141144241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430059 + ... + 437301.

It is an arithmetic number, because the mean of its divisors is an integer number (66021816).

Almost surely, 23141144240 is an apocalyptic number.

3141144240 is a gapful number since it is divisible by the number (30) 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 3141144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281745280).

3141144240 is an abundant number, since it is smaller than the sum of its proper divisors (7422346320).

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

3141144240 is a wasteful number, since it uses less digits than its factorization.

3141144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3141144240 is about 56045.9118937323. The cubic root of 3141144240 is about 1464.5222016593.

Adding to 3141144240 its reverse (424411413), we get a palindrome (3565555653).

The spelling of 3141144240 in words is "three billion, one hundred forty-one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 139 156 195 208 240 260 278 312 390 417 520 556 624 695 780 834 1040 1112 1390 1560 1668 1807 2085 2224 2780 3120 3336 3614 4170 5421 5560 6672 7228 7243 8340 9035 10842 11120 14456 14486 16680 18070 21684 21729 27105 28912 28972 33360 36140 36215 43368 43458 54210 57944 72280 72430 86736 86916 94159 108420 108645 115888 144560 144860 173832 188318 216840 217290 282477 289720 347664 376636 433680 434580 470795 564954 579440 753272 869160 941590 1006777 1129908 1412385 1506544 1738320 1883180 2013554 2259816 2824770 3020331 3766360 4027108 4519632 5033885 5649540 6040662 7532720 8054216 10067770 11299080 12081324 13088101 15101655 16108432 20135540 22598160 24162648 26176202 30203310 39264303 40271080 48325296 52352404 60406620 65440505 78528606 80542160 104704808 120813240 130881010 157057212 196321515 209409616 241626480 261762020 314114424 392643030 523524040 628228848 785286060 1047048080 1570572120 3141144240