Search a number
-
+
3141400240 = 245117379619
BaseRepresentation
bin1011101100111101…
…1111011010110000
322002221002200000001
42323033133122300
522413144301430
61235415035344
7140563314166
oct27317373260
98087080001
103141400240
111372269550
1273806bb54
133b0a92014
1421b2d3236
15135bc53ca
hexbb3df6b0

3141400240 has 160 divisors (see below), whose sum is σ = 8192332800. Its totient is φ = 1110620160.

The previous prime is 3141400219. The next prime is 3141400243. The reversal of 3141400240 is 420041413.

It is not an unprimeable number, because it can be changed into a prime (3141400243) 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, 5074651 + ... + 5075269.

It is an arithmetic number, because the mean of its divisors is an integer number (51202080).

Almost surely, 23141400240 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 3141400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096166400).

3141400240 is an abundant number, since it is smaller than the sum of its proper divisors (5050932560).

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

3141400240 is a wasteful number, since it uses less digits than its factorization.

3141400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3141400240 is about 56048.1956890675. The cubic root of 3141400240 is about 1464.5619862591.

Adding to 3141400240 its reverse (420041413), we get a palindrome (3561441653).

The spelling of 3141400240 in words is "three billion, one hundred forty-one million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 79 80 88 110 146 158 176 220 292 316 365 395 440 584 619 632 730 790 803 869 880 1168 1238 1264 1460 1580 1606 1738 2476 2920 3095 3160 3212 3476 4015 4345 4952 5767 5840 6190 6320 6424 6809 6952 8030 8690 9904 11534 12380 12848 13618 13904 16060 17380 23068 24760 27236 28835 32120 34045 34760 45187 46136 48901 49520 54472 57670 63437 64240 68090 69520 90374 92272 97802 108944 115340 126874 136180 180748 195604 225935 230680 244505 253748 272360 317185 361496 391208 451870 461360 489010 497057 507496 537911 544720 634370 722992 782416 903740 978020 994114 1014992 1075822 1268740 1807480 1956040 1988228 2151644 2485285 2537480 2689555 3569773 3614960 3912080 3976456 4303288 4970570 5074960 5379110 7139546 7952912 8606576 9941140 10758220 14279092 17848865 19882280 21516440 28558184 35697730 39267503 39764560 43032880 57116368 71395460 78535006 142790920 157070012 196337515 285581840 314140024 392675030 628280048 785350060 1570700120 3141400240