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3023230331232 = 253231418259109
BaseRepresentation
bin101011111111100110100…
…100011110100101100000
3101201000111010020101002100
4223333212210132211200
5344013033431044412
610232504114050400
7431264315546226
oct53774644364540
911630433211070
103023230331232
11a66165785431
12409b09879a00
1318c121536027
14a647a220b16
1553993d9eedc
hex2bfe691e960

3023230331232 has 144 divisors (see below), whose sum is σ = 9091099704960. Its totient is φ = 951449241600.

The previous prime is 3023230331221. The next prime is 3023230331237. The reversal of 3023230331232 is 2321330323203.

3023230331232 is a `hidden beast` number, since 3 + 0 + 2 + 323 + 0 + 331 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30232303312322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3023230331196 and 3023230331205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023230331237) 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 23 ways as a sum of consecutive naturals, for example, 3763507 + ... + 4495602.

It is an arithmetic number, because the mean of its divisors is an integer number (63132636840).

Almost surely, 23023230331232 is an apocalyptic number.

3023230331232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3023230331232 is an abundant number, since it is smaller than the sum of its proper divisors (6067869373728).

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

3023230331232 is a wasteful number, since it uses less digits than its factorization.

3023230331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259197 (or 8259186 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 3023230331232 its reverse (2321330323203), we get a palindrome (5344560654435).

The spelling of 3023230331232 in words is "three trillion, twenty-three billion, two hundred thirty million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 41 48 62 72 82 93 96 123 124 144 164 186 246 248 279 288 328 369 372 492 496 558 656 738 744 984 992 1116 1271 1312 1476 1488 1968 2232 2542 2952 2976 3813 3936 4464 5084 5904 7626 8928 10168 11439 11808 15252 20336 22878 30504 40672 45756 61008 91512 122016 183024 366048 8259109 16518218 24777327 33036436 49554654 66072872 74331981 99109308 132145744 148663962 198218616 256032379 264291488 297327924 338623469 396437232 512064758 594655848 677246938 768097137 792874464 1015870407 1024129516 1189311696 1354493876 1536194274 2031740814 2048259032 2304291411 2378623392 2708987752 3047611221 3072388548 4063481628 4096518064 4608582822 5417975504 6095222442 6144777096 8126963256 8193036128 9217165644 10497327539 10835951008 12190444884 12289554192 16253926512 18434331288 20994655078 24380889768 24579108384 31491982617 32507853024 36868662576 41989310156 48761779536 62983965234 73737325152 83978620312 94475947851 97523559072 125967930468 167957240624 188951895702 251935860936 335914481248 377903791404 503871721872 755807582808 1007743443744 1511615165616 3023230331232