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4121600040 = 2332531369319
BaseRepresentation
bin1111010110101010…
…1010000000101000
3101122020111222100100
43311222222000220
531420112200130
61520552105400
7204065010435
oct36552520050
911566458310
104121600040
111825599128
12970395260
13508b889bc
142b1568b8c
15191c94c60
hexf5aaa028

4121600040 has 96 divisors (see below), whose sum is σ = 13827340800. Its totient is φ = 1063635840.

The previous prime is 4121600039. The next prime is 4121600053. The reversal of 4121600040 is 400061214.

4121600040 is a `hidden beast` number, since 4 + 1 + 21 + 600 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4121599986 and 4121600022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173500 + ... + 195819.

It is an arithmetic number, because the mean of its divisors is an integer number (144034800).

Almost surely, 24121600040 is an apocalyptic number.

4121600040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121600040 is an abundant number, since it is smaller than the sum of its proper divisors (9705740760).

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

4121600040 is a wasteful number, since it uses less digits than its factorization.

4121600040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369367 (or 369360 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4121600040 is about 64199.6887842924. The cubic root of 4121600040 is about 1603.3264180883.

Adding to 4121600040 its reverse (400061214), we get a palindrome (4521661254).

The spelling of 4121600040 in words is "four billion, one hundred twenty-one million, six hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 369319 738638 1107957 1477276 1846595 2215914 2954552 3323871 3693190 4431828 5539785 6647742 7386380 8863656 11079570 11448889 13295484 14772760 16619355 22159140 22897778 26590968 33238710 34346667 44318280 45795556 57244445 66477420 68693334 91591112 103040001 114488890 132954840 137386668 171733335 206080002 228977780 274773336 343466670 412160004 457955560 515200005 686933340 824320008 1030400010 1373866680 2060800020 4121600040