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320141216352 = 25317296764309
BaseRepresentation
bin1001010100010011110…
…01110100101001100000
31010121100012011211102010
410222021321310221200
520221122122410402
6403023145152520
732062253303616
oct4521171645140
91117305154363
10320141216352
11113853409251
125206678b740
132425c84b3c9
14116d00a76b6
1584daa21a6c
hex4a89e74a60

320141216352 has 96 divisors (see below), whose sum is σ = 920487304800. Its totient is φ = 96973119488.

The previous prime is 320141216203. The next prime is 320141216363. The reversal of 320141216352 is 253612141023.

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

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, 3334827 + ... + 3429482.

It is an arithmetic number, because the mean of its divisors is an integer number (9588409425).

Almost surely, 2320141216352 is an apocalyptic number.

320141216352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320141216352 is an abundant number, since it is smaller than the sum of its proper divisors (600346088448).

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

320141216352 is a wasteful number, since it uses less digits than its factorization.

320141216352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764368 (or 6764360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 320141216352 its reverse (253612141023), we get a palindrome (573753357375).

The spelling of 320141216352 in words is "three hundred twenty billion, one hundred forty-one million, two hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 11832 15776 23664 47328 6764309 13528618 20292927 27057236 40585854 54114472 81171708 108228944 114993253 162343416 196164961 216457888 229986506 324686832 344979759 392329922 459973012 588494883 649373664 689959518 784659844 919946024 1176989766 1379919036 1569319688 1839892048 2353979532 2759838072 3138639376 3334804337 3679784096 4707959064 5519676144 6277278752 6669608674 9415918128 10004413011 11039352288 13339217348 18831836256 20008826022 26678434696 40017652044 53356869392 80035304088 106713738784 160070608176 320141216352