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145966314 = 23132413511
BaseRepresentation
bin10001011001101…
…00010011101010
3101011122212010210
420230310103222
5244331410224
622252321550
73421456524
oct1054642352
9334585123
10145966314
117543771a
1240a732b6
1324318c00
1415558a14
15cc34429
hex8b344ea

145966314 has 48 divisors (see below), whose sum is σ = 323918784. Its totient is φ = 43804800.

The previous prime is 145966313. The next prime is 145966343. The reversal of 145966314 is 413669541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (145966313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39819 + ... + 43329.

It is an arithmetic number, because the mean of its divisors is an integer number (6748308).

Almost surely, 2145966314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145966314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161959392).

145966314 is an abundant number, since it is smaller than the sum of its proper divisors (177952470).

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

145966314 is a wasteful number, since it uses less digits than its factorization.

145966314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3570 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 145966314 is about 12081.6519565828. The cubic root of 145966314 is about 526.5232423820.

It can be divided in two parts, 14596 and 6314, that added together give a triangular number (20910 = T204).

The spelling of 145966314 in words is "one hundred forty-five million, nine hundred sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 3198 3511 6929 7022 10533 13858 20787 21066 41574 45643 91286 136929 143951 273858 287902 431853 593359 863706 1186718 1780077 1871363 3560154 3742726 5614089 11228178 24327719 48655438 72983157 145966314