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145561131243 = 3511972692087
BaseRepresentation
bin1000011110010000011…
…1101001100011101011
3111220201101221121200000
42013210013221203223
54341102122144433
6150511520114043
713342066125633
oct2074407514353
9456641847600
10145561131243
1156806511380
1224264165923
1310959a5a7b8
14708c0396c3
153bbe069113
hex21e41e98eb

145561131243 has 96 divisors (see below), whose sum is σ = 241325360640. Its totient is φ = 86943144960.

The previous prime is 145561131223. The next prime is 145561131263. The reversal of 145561131243 is 342131165541.

145561131243 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 611 + 31 + 2 + 4 + 3 = 666.

145561131243 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145561131223) and next prime (145561131263).

It is not a de Polignac number, because 145561131243 - 216 = 145561065707 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145561131198 and 145561131207.

It is not an unprimeable number, because it can be changed into a prime (145561131223) 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 95 ways as a sum of consecutive naturals, for example, 69745546 + ... + 69747632.

It is an arithmetic number, because the mean of its divisors is an integer number (2513805840).

Almost surely, 2145561131243 is an apocalyptic number.

145561131243 is a deficient number, since it is larger than the sum of its proper divisors (95764229397).

145561131243 is a wasteful number, since it uses less digits than its factorization.

145561131243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2467 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 145561131243 its reverse (342131165541), we get a palindrome (487692296784).

The spelling of 145561131243 in words is "one hundred forty-five billion, five hundred sixty-one million, one hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 9 11 27 33 81 97 99 243 269 291 297 807 873 891 1067 2087 2421 2619 2673 2959 3201 6261 7263 7857 8877 9603 18783 21789 22957 23571 26093 26631 28809 56349 65367 68871 78279 79893 86427 169047 202439 206613 234837 239679 259281 287023 507141 561403 607317 619839 704511 719037 861069 1684209 1821951 1859517 2113533 2226829 2583207 5052627 5465853 5578551 6175433 6340599 6680487 7749621 15157881 16397559 18526299 20041461 23248863 45473643 49192677 54456091 55578897 60124383 69746589 136420929 163368273 166736691 180373149 490104819 500210073 541119447 599017001 1470314457 1500630219 1797051003 4410943371 5391153009 13232830113 16173459027 48520377081 145561131243