Search a number
-
+
4061412576 = 25351340177
BaseRepresentation
bin1111001000010100…
…0011110011100000
3101111001021010200000
43302011003303200
531304210200301
61511002100000
7202434302664
oct36205036340
911431233600
104061412576
1117a461a421
129541aa600
134c9574610
142a757c8a4
1518b856786
hexf2143ce0

4061412576 has 144 divisors (see below), whose sum is σ = 12899066544. Its totient is φ = 1249634304.

The previous prime is 4061412569. The next prime is 4061412581. The reversal of 4061412576 is 6752141604.

4061412576 is a `hidden beast` number, since 40 + 6 + 1 + 41 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40614125762 = 32990144224981911552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4061412576.

It is a congruent number.

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, 81000 + ... + 121176.

It is an arithmetic number, because the mean of its divisors is an integer number (89576851).

Almost surely, 24061412576 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 4061412576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449533272).

4061412576 is an abundant number, since it is smaller than the sum of its proper divisors (8837653968).

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

4061412576 is a wasteful number, since it uses less digits than its factorization.

4061412576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40215 (or 40195 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4061412576 is about 63729.2128933035. The cubic root of 4061412576 is about 1595.4836930184.

The spelling of 4061412576 in words is "four billion, sixty-one million, four hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 25272 33696 40177 50544 80354 101088 120531 160708 241062 321416 361593 482124 522301 642832 723186 964248 1044602 1084779 1285664 1446372 1566903 1928496 2089204 2169558 2892744 3133806 3254337 3856992 4178408 4339116 4700709 5785488 6267612 6508674 8356816 8678232 9401418 9763011 11570976 12535224 13017348 14102127 16713632 17356464 18802836 19526022 25070448 26034696 28204254 34712928 37605672 39052044 42306381 50140896 52069392 56408508 75211344 78104088 84612762 104138784 112817016 126919143 150422688 156208176 169225524 225634032 253838286 312416352 338451048 451268064 507676572 676902096 1015353144 1353804192 2030706288 4061412576