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145300440051 = 32132327332159
BaseRepresentation
bin1000011101010010010…
…1001100001111110011
3111220001020102010120200
42013110211030033303
54340033403040201
6150430004410243
713332452235204
oct2072445141763
9456036363520
10145300440051
1156692346208
12241b09a6983
1310917a43a60
1470655795ab
153ba6222386
hex21d494c3f3

145300440051 has 72 divisors (see below), whose sum is σ = 239521376640. Its totient is φ = 84353778432.

The previous prime is 145300440049. The next prime is 145300440079. The reversal of 145300440051 is 150044003541.

It is a happy number.

145300440051 is a `hidden beast` number, since 145 + 30 + 0 + 440 + 0 + 51 = 666.

145300440051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145300440051 - 21 = 145300440049 is a prime.

It is a super-2 number, since 2×1453004400512 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145300439997 and 145300440024.

It is not an unprimeable number, because it can be changed into a prime (145300440091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4502110 + ... + 4534268.

Almost surely, 2145300440051 is an apocalyptic number.

145300440051 is a deficient number, since it is larger than the sum of its proper divisors (94220936589).

145300440051 is a wasteful number, since it uses less digits than its factorization.

145300440051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32297 (or 32271 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145300440051 its reverse (150044003541), we get a palindrome (295344443592).

The spelling of 145300440051 in words is "one hundred forty-five billion, three hundred million, four hundred forty thousand, fifty-one".

Divisors: 1 3 9 13 23 39 69 73 117 207 219 299 529 657 897 949 1587 1679 2691 2847 4761 5037 6877 8541 15111 20631 21827 32159 38617 61893 65481 96477 115851 196443 289431 347553 418067 502021 739657 1254201 1506063 2218971 2347607 3762603 4518189 6656913 7042821 9615541 17012111 21128463 28846623 30518891 51036333 53994961 86539869 91556673 153108999 161984883 221157443 274670019 485954649 663472329 701934493 1241884103 1990416987 2105803479 3725652309 6317410437 11176956927 16144493339 48433480017 145300440051