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145202814 = 23317612593
BaseRepresentation
bin10001010011110…
…01111001111110
3101010020001211000
420221321321332
5244132442224
622224111130
73412126551
oct1051717176
9333201730
10145202814
1174a66029
12407654a6
132410c533
14153da698
15cb330c9
hex8a79e7e

145202814 has 64 divisors (see below), whose sum is σ = 347388480. Its totient is φ = 44789760.

The previous prime is 145202789. The next prime is 145202821. The reversal of 145202814 is 418202541.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 54702 + ... + 57294.

It is an arithmetic number, because the mean of its divisors is an integer number (5427945).

Almost surely, 2145202814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145202814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173694240).

145202814 is an abundant number, since it is smaller than the sum of its proper divisors (202185666).

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

145202814 is a wasteful number, since it uses less digits than its factorization.

145202814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145202814 is about 12050.0130290386. The cubic root of 145202814 is about 525.6036159339.

The spelling of 145202814 in words is "one hundred forty-five million, two hundred two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 183 306 366 459 549 918 1037 1098 1647 2074 2593 3111 3294 5186 6222 7779 9333 15558 18666 23337 27999 44081 46674 55998 70011 88162 132243 140022 158173 264486 316346 396729 474519 793458 949038 1190187 1423557 2380374 2688941 2847114 4270671 5377882 8066823 8541342 16133646 24200469 48400938 72601407 145202814