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332124041040 = 243511125804561
BaseRepresentation
bin1001101010101000010…
…00101010111101010000
31011202021021222101122220
410311110020222331100
520420142223303130
6412324202501040
732665225524561
oct4652410527520
91152237871586
10332124041040
111189423a9850
125444b804780
132541c27b40c
14121096d4168
15898c9ed410
hex4d5422af50

332124041040 has 80 divisors (see below), whose sum is σ = 1123183129536. Its totient is φ = 80514918400.

The previous prime is 332124041017. The next prime is 332124041069. The reversal of 332124041040 is 40140421233.

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

It is a super-2 number, since 2×3321240410402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 332124041040.

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, 62899641 + ... + 62904920.

Almost surely, 2332124041040 is an apocalyptic number.

332124041040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332124041040 is an abundant number, since it is smaller than the sum of its proper divisors (791059088496).

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

332124041040 is a wasteful number, since it uses less digits than its factorization.

332124041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125804588 (or 125804582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 332124041040 its reverse (40140421233), we get a palindrome (372264462273).

The spelling of 332124041040 in words is "three hundred thirty-two billion, one hundred twenty-four million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 125804561 251609122 377413683 503218244 629022805 754827366 1006436488 1258045610 1383850171 1509654732 1887068415 2012872976 2516091220 2767700342 3019309464 3774136830 4151550513 5032182440 5535400684 6038618928 6919250855 7548273660 8303101026 10064364880 11070801368 13838501710 15096547320 16606202052 20757752565 22141602736 27677003420 30193094640 33212404104 41515505130 55354006840 66424808208 83031010260 110708013680 166062020520 332124041040