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145644440 = 23517243293
BaseRepresentation
bin10001010111001…
…01101110011000
3101011001111121112
420223211232120
5244241110230
622241355452
73415646234
oct1053455630
9334044545
10145644440
1175237907
1240938b88
1324235556
14154b35c4
15cbbdd95
hex8ae5b98

145644440 has 96 divisors (see below), whose sum is σ = 357421680. Its totient is φ = 53372928.

The previous prime is 145644437. The next prime is 145644451. The reversal of 145644440 is 44446541.

145644440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145644397 and 145644406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496934 + ... + 497226.

Almost surely, 2145644440 is an apocalyptic number.

145644440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145644440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178710840).

145644440 is an abundant number, since it is smaller than the sum of its proper divisors (211777240).

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

145644440 is a wasteful number, since it uses less digits than its factorization.

145644440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 145644440 is about 12068.3238272761. The cubic root of 145644440 is about 526.1359409997.

The spelling of 145644440 in words is "one hundred forty-five million, six hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 289 293 340 344 430 578 586 680 731 860 1156 1172 1445 1462 1465 1720 2312 2344 2890 2924 2930 3655 4981 5780 5848 5860 7310 9962 11560 11720 12427 12599 14620 19924 24854 24905 25198 29240 39848 49708 49810 50396 62135 62995 84677 99416 99620 100792 124270 125990 169354 199240 214183 248540 251980 338708 423385 428366 497080 503960 677416 846770 856732 1070915 1693540 1713464 2141830 3387080 3641111 4283660 7282222 8567320 14564444 18205555 29128888 36411110 72822220 145644440