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3242041141152 = 2531110329806939
BaseRepresentation
bin101111001011011000101…
…101011110011110100000
3102110221021102101012201110
4233023120231132132200
5411104200013004102
610521212333103320
7453141542003532
oct57133055363640
912427242335643
103242041141152
11103aa3a782530
124443b5027b40
131a6952a51a58
14b2cb66ad852
15594ed98c86c
hex2f2d8b5e7a0

3242041141152 has 96 divisors (see below), whose sum is σ = 9374163402240. Its totient is φ = 972898456320.

The previous prime is 3242041141147. The next prime is 3242041141153. The reversal of 3242041141152 is 2511411402423.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3242041141153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14794702 + ... + 15012237.

It is an arithmetic number, because the mean of its divisors is an integer number (97647535440).

Almost surely, 23242041141152 is an apocalyptic number.

3242041141152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3242041141152 is an abundant number, since it is smaller than the sum of its proper divisors (6132122261088).

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

3242041141152 is a wasteful number, since it uses less digits than its factorization.

3242041141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29807066 (or 29807058 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 3242041141152 its reverse (2511411402423), we get a palindrome (5753452543575).

The spelling of 3242041141152 in words is "three trillion, two hundred forty-two billion, forty-one million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1133 1236 1648 2266 2472 3296 3399 4532 4944 6798 9064 9888 13596 18128 27192 36256 54384 108768 29806939 59613878 89420817 119227756 178841634 238455512 327876329 357683268 476911024 655752658 715366536 953822048 983628987 1311505316 1430733072 1967257974 2623010632 2861466144 3070114717 3934515948 5246021264 6140229434 7869031896 9210344151 10492042528 12280458868 15738063792 18420688302 24560917736 31476127584 33771261887 36841376604 49121835472 67542523774 73682753208 98243670944 101313785661 135085047548 147365506416 202627571322 270170095096 294731012832 405255142644 540340190192 810510285288 1080680380384 1621020570576 3242041141152