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145333405314 = 23217474945769
BaseRepresentation
bin1000011101011010001…
…0111100011010000010
3111220010112102221102100
42013112202330122002
54340120322432224
6150433143131230
713333332363636
oct2072642743202
9456115387370
10145333405314
11566a9a11529
12241bba43b16
1310921816626
147069abadc6
153ba9084ac9
hex21d68bc682

145333405314 has 24 divisors (see below), whose sum is σ = 333411930540. Its totient is φ = 45594793728.

The previous prime is 145333405277. The next prime is 145333405351. The reversal of 145333405314 is 413504333541.

145333405314 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 334 + 0 + 5 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (145333405277) and next prime (145333405351).

It can be written as a sum of positive squares in 2 ways, for example, as 145186147089 + 147258225 = 381033^2 + 12135^2 .

It is a super-2 number, since 2×1453334053142 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 237472579 + ... + 237473190.

Almost surely, 2145333405314 is an apocalyptic number.

145333405314 is an abundant number, since it is smaller than the sum of its proper divisors (188078525226).

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

145333405314 is a wasteful number, since it uses less digits than its factorization.

145333405314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474945794 (or 474945791 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 145333405314 its reverse (413504333541), we get a palindrome (558837738855).

The spelling of 145333405314 in words is "one hundred forty-five billion, three hundred thirty-three million, four hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 474945769 949891538 1424837307 2849674614 4274511921 8074078073 8549023842 16148156146 24222234219 48444468438 72666702657 145333405314