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145444464 = 243311127241
BaseRepresentation
bin10001010101101…
…00111001110000
3101010200100022000
420222310321300
5244213210324
622233214000
73414154224
oct1052647160
9333610260
10145444464
1175110640
1240861300
1324195519
1415460784
15cb7e9c9
hex8ab4e70

145444464 has 160 divisors (see below), whose sum is σ = 460922880. Its totient is φ = 43545600.

The previous prime is 145444463. The next prime is 145444489. The reversal of 145444464 is 464444541.

145444464 is a `hidden beast` number, since 14 + 544 + 44 + 64 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (122880) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145444463) 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 31 ways as a sum of consecutive naturals, for example, 603384 + ... + 603624.

It is an arithmetic number, because the mean of its divisors is an integer number (2880768).

Almost surely, 2145444464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145444464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230461440).

145444464 is an abundant number, since it is smaller than the sum of its proper divisors (315478416).

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

145444464 is a wasteful number, since it uses less digits than its factorization.

145444464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 145444464 is about 12060.0358208423. The cubic root of 145444464 is about 525.8950283763.

The spelling of 145444464 in words is "one hundred forty-five million, four hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 127 132 144 176 198 216 241 254 264 297 381 396 432 482 508 528 594 723 762 792 964 1016 1143 1188 1397 1446 1524 1584 1928 2032 2169 2286 2376 2651 2794 2892 3048 3429 3856 4191 4338 4572 4752 5302 5588 5784 6096 6507 6858 7953 8382 8676 9144 10604 11176 11568 12573 13014 13716 15906 16764 17352 18288 21208 22352 23859 25146 26028 27432 30607 31812 33528 34704 37719 42416 47718 50292 52056 54864 61214 63624 67056 71577 75438 91821 95436 100584 104112 122428 127248 143154 150876 183642 190872 201168 244856 275463 286308 301752 336677 367284 381744 489712 550926 572616 603504 673354 734568 826389 1010031 1101852 1145232 1346708 1469136 1652778 2020062 2203704 2693416 3030093 3305556 4040124 4407408 5386832 6060186 6611112 8080248 9090279 12120372 13222224 16160496 18180558 24240744 36361116 48481488 72722232 145444464