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4112412040 = 2351153176347
BaseRepresentation
bin1111010100011110…
…0110110110001000
3101121121020011210001
43311013212312020
531410234141130
61520023132344
7203623632322
oct36507466610
911547204701
104112412040
111820393040
129692a40b4
13506cbc909
142b0256612
1519107c6ca
hexf51e6d88

4112412040 has 64 divisors (see below), whose sum is σ = 10284615360. Its totient is φ = 1467198720.

The previous prime is 4112412001. The next prime is 4112412049. The reversal of 4112412040 is 402142114.

It is a junction number, because it is equal to n+sod(n) for n = 4112411999 and 4112412017.

It is not an unprimeable number, because it can be changed into a prime (4112412049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64854 + ... + 111493.

It is an arithmetic number, because the mean of its divisors is an integer number (160697115).

Almost surely, 24112412040 is an apocalyptic number.

4112412040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112412040 is an abundant number, since it is smaller than the sum of its proper divisors (6172203320).

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

4112412040 is a wasteful number, since it uses less digits than its factorization.

4112412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176422 (or 176418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4112412040 is about 64128.0908806741. The cubic root of 4112412040 is about 1602.1341365227.

Adding to 4112412040 its reverse (402142114), we get a palindrome (4514554154).

The spelling of 4112412040 in words is "four billion, one hundred twelve million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 176347 352694 705388 881735 1410776 1763470 1939817 3526940 3879634 7053880 7759268 9346391 9699085 15518536 18692782 19398170 37385564 38796340 46731955 74771128 77592680 93463910 102810301 186927820 205620602 373855640 411241204 514051505 822482408 1028103010 2056206020 4112412040