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45031271004 = 22332321974001
BaseRepresentation
bin101001111100000100…
…101010101001011100
311022020022021120211000
4221330010222221130
51214211001133004
632404224230300
73152626326246
oct517404525134
9138208246730
1045031271004
1118108a84455
128888a6b390
13432853c7b5
14227288d096
151288568c39
hexa7c12aa5c

45031271004 has 144 divisors (see below), whose sum is σ = 122694596640. Its totient is φ = 14281344000.

The previous prime is 45031270997. The next prime is 45031271009. The reversal of 45031271004 is 40017213054.

It is a super-3 number, since 3×450312710043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45031271009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11253004 + ... + 11257004.

It is an arithmetic number, because the mean of its divisors is an integer number (852045810).

Almost surely, 245031271004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45031271004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61347298320).

45031271004 is an abundant number, since it is smaller than the sum of its proper divisors (77663325636).

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

45031271004 is a wasteful number, since it uses less digits than its factorization.

45031271004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 45031271004 its reverse (40017213054), we get a palindrome (85048484058).

The spelling of 45031271004 in words is "forty-five billion, thirty-one million, two hundred seventy-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 197 207 276 394 414 529 591 621 788 828 1058 1182 1242 1587 1773 2116 2364 2484 3174 3546 4001 4531 4761 5319 6348 7092 8002 9062 9522 10638 12003 13593 14283 16004 18124 19044 21276 24006 27186 28566 36009 40779 48012 54372 57132 72018 81558 92023 104213 108027 122337 144036 163116 184046 208426 216054 244674 276069 312639 368092 416852 432108 489348 552138 625278 788197 828207 937917 1104276 1250556 1576394 1656414 1875834 2116529 2364591 2484621 2813751 3152788 3312828 3751668 4233058 4729182 4969242 5627502 6349587 7093773 8466116 9458364 9938484 11255004 12699174 14187546 18128531 19048761 21281319 25398348 28375092 36257062 38097522 42562638 54385593 57146283 72514124 76195044 85125276 108771186 114292566 163156779 217542372 228585132 326313558 416956213 489470337 652627116 833912426 978940674 1250868639 1667824852 1957881348 2501737278 3752605917 5003474556 7505211834 11257817751 15010423668 22515635502 45031271004