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145451312461253 = 23891279267720753
BaseRepresentation
bin100001000100100110000101…
…110011111011010111000101
3201002000000021001101011000002
4201010212011303323113011
5123031033241442230003
61233203224355531045
742431340054465521
oct4104460563732705
9632000231334002
10145451312461253
1142388611a81777
12143915322b9a85
136320ccca618b6
1427cbc499acd81
1511c37c82eda88
hex844985cfb5c5

145451312461253 has 32 divisors (see below), whose sum is σ = 153665405337600. Its totient is φ = 137398589577216.

The previous prime is 145451312461249. The next prime is 145451312461271. The reversal of 145451312461253 is 352164213154541.

It is a cyclic number.

It is not a de Polignac number, because 145451312461253 - 22 = 145451312461249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145451312461198 and 145451312461207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145451312461223) 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 31 ways as a sum of consecutive naturals, for example, 7008678125 + ... + 7008698877.

It is an arithmetic number, because the mean of its divisors is an integer number (4802043916800).

Almost surely, 2145451312461253 is an apocalyptic number.

It is an amenable number.

145451312461253 is a deficient number, since it is larger than the sum of its proper divisors (8214092876347).

145451312461253 is a wasteful number, since it uses less digits than its factorization.

145451312461253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24821.

The product of its digits is 1728000, while the sum is 47.

The spelling of 145451312461253 in words is "one hundred forty-five trillion, four hundred fifty-one billion, three hundred twelve million, four hundred sixty-one thousand, two hundred fifty-three".

Divisors: 1 23 89 1279 2047 2677 20753 29417 61571 113831 238253 477319 1847017 2618113 3423883 5479819 26543087 42481391 55555781 78749309 304725587 610491001 1277782963 2362334743 4944464509 7008688501 54333699089 71055843899 113722683707 1634284409677 6323970107011 145451312461253