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4055040144 = 24359831061
BaseRepresentation
bin1111000110110011…
…0000000010010000
3101110121021101100000
43301230300002100
531301042241034
61510213330000
7202326162321
oct36154600220
911417241300
104055040144
1117a0a67751
12952036900
134c8152c4c
142a67a0448
1518aee8599
hexf1b30090

4055040144 has 120 divisors (see below), whose sum is σ = 11791870272. Its totient is φ = 1349032320.

The previous prime is 4055040133. The next prime is 4055040181. The reversal of 4055040144 is 4410405504.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3821374 + ... + 3822434.

Almost surely, 24055040144 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 4055040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895935136).

4055040144 is an abundant number, since it is smaller than the sum of its proper divisors (7736830128).

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

4055040144 is a wasteful number, since it uses less digits than its factorization.

4055040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4055040144 is about 63679.1971054912. The cubic root of 4055040144 is about 1594.6488083362.

Adding to 4055040144 its reverse (4410405504), we get a palindrome (8465445648).

The spelling of 4055040144 in words is "four billion, fifty-five million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 983 1061 1296 1944 1966 2122 2949 3183 3888 3932 4244 5898 6366 7864 8488 8847 9549 11796 12732 15728 16976 17694 19098 23592 25464 26541 28647 35388 38196 47184 50928 53082 57294 70776 76392 79623 85941 106164 114588 141552 152784 159246 171882 212328 229176 238869 257823 318492 343764 424656 458352 477738 515646 636984 687528 955476 1031292 1042963 1273968 1375056 1910952 2062584 2085926 3128889 3821904 4125168 4171852 6257778 8343704 9386667 12515556 16687408 18773334 25031112 28160001 37546668 50062224 56320002 75093336 84480003 112640004 150186672 168960006 225280008 253440009 337920012 450560016 506880018 675840024 1013760036 1351680048 2027520072 4055040144