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4661405040 = 243537524933
BaseRepresentation
bin1000101011101011…
…10110010101110000
3110000212020220121010
410111311312111300
534021304430130
62050314030520
7223341201105
oct42565662560
913025226533
104661405040
111a82272666
12aa1118440
13593969946
14323122aac
151c43720b0
hex115d76570

4661405040 has 80 divisors (see below), whose sum is σ = 14840934048. Its totient is φ = 1209443328.

The previous prime is 4661405017. The next prime is 4661405069. The reversal of 4661405040 is 405041664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4661404989 and 4661405007.

It is a congruent number.

It is an unprimeable number.

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, 253587 + ... + 271346.

Almost surely, 24661405040 is an apocalyptic number.

4661405040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661405040 is an abundant number, since it is smaller than the sum of its proper divisors (10179529008).

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

4661405040 is a wasteful number, since it uses less digits than its factorization.

4661405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524986 (or 524980 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4661405040 is about 68274.4830811629. The cubic root of 4661405040 is about 1670.4710254165.

The spelling of 4661405040 in words is "four billion, six hundred sixty-one million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 524933 1049866 1574799 2099732 2624665 3149598 4199464 5249330 6299196 7873995 8398928 10498660 12598392 15747990 19422521 20997320 25196784 31495980 38845042 41994640 58267563 62991960 77690084 97112605 116535126 125983920 155380168 194225210 233070252 291337815 310760336 388450420 466140504 582675630 776900840 932281008 1165351260 1553801680 2330702520 4661405040