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145431021230432 = 2572347600597253
BaseRepresentation
bin100001000100010011001100…
…010111000001100101100000
3201001221001212220211211011122
4201010103030113001211200
5123030220212413333212
61233150031104231412
742430021165044260
oct4104231427014540
9631831786754148
10145431021230432
114237aa4a118723
121438960a90b568
13631c117c39742
1427cac82b577a0
1511c2edbc07272
hex8444cc5c1960

145431021230432 has 96 divisors (see below), whose sum is σ = 348711570450432. Its totient is φ = 58349224226304.

The previous prime is 145431021230419. The next prime is 145431021230441. The reversal of 145431021230432 is 234032120134541.

It is a super-2 number, since 2×1454310212304322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145431021230392 and 145431021230401.

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, 300056483 + ... + 300540770.

It is an arithmetic number, because the mean of its divisors is an integer number (3632412192192).

Almost surely, 2145431021230432 is an apocalyptic number.

It is an amenable number.

145431021230432 is an abundant number, since it is smaller than the sum of its proper divisors (203280549220000).

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

145431021230432 is a wasteful number, since it uses less digits than its factorization.

145431021230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600597340 (or 600597332 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 145431021230432 its reverse (234032120134541), we get a palindrome (379463141364973).

The spelling of 145431021230432 in words is "one hundred forty-five trillion, four hundred thirty-one billion, twenty-one million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 92 94 112 161 184 188 224 322 329 368 376 644 658 736 752 1081 1288 1316 1504 2162 2576 2632 4324 5152 5264 7567 8648 10528 15134 17296 30268 34592 60536 121072 242144 600597253 1201194506 2402389012 4204180771 4804778024 8408361542 9609556048 13813736819 16816723084 19219112096 27627473638 28228070891 33633446168 55254947276 56456141782 67266892336 96696157733 110509894552 112912283564 134533784672 193392315466 197596496237 221019789104 225824567128 386784630932 395192992474 442039578208 451649134256 649245630493 773569261864 790385984948 903298268512 1298491260986 1547138523728 1580771969896 2596982521972 3094277047456 3161543939792 4544719413451 5193965043944 6323087879584 9089438826902 10387930087888 18178877653804 20775860175776 36357755307608 72715510615216 145431021230432