Search a number
-
+
146360360544 = 2531524587089
BaseRepresentation
bin1000100001001111000…
…0011101111001100000
3111222210002211200011020
42020103300131321200
54344221223014134
6151123110245440
713400642352336
oct2102360357140
9458702750136
10146360360544
1157086676162
1224447956880
1310a56500948
147126243b56
153c192dcb49
hex2213c1de60

146360360544 has 24 divisors (see below), whose sum is σ = 384195946680. Its totient is φ = 48786786816.

The previous prime is 146360360533. The next prime is 146360360557. The reversal of 146360360544 is 445063063641.

146360360544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 146360360496 and 146360360505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762293449 + ... + 762293640.

It is an arithmetic number, because the mean of its divisors is an integer number (16008164445).

Almost surely, 2146360360544 is an apocalyptic number.

It is an amenable number.

146360360544 is an abundant number, since it is smaller than the sum of its proper divisors (237835586136).

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

146360360544 is a wasteful number, since it uses less digits than its factorization.

146360360544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524587102 (or 1524587094 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 146360360544 in words is "one hundred forty-six billion, three hundred sixty million, three hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1524587089 3049174178 4573761267 6098348356 9147522534 12196696712 18295045068 24393393424 36590090136 48786786848 73180180272 146360360544