Search a number
-
+
1021434144 = 25317959441
BaseRepresentation
bin111100111000011…
…101100100100000
32122012000020020020
4330320131210200
54042441343034
6245204513440
734212022053
oct7470354440
92565006206
101021434144
11484633655
122460ab880
13133803303
149992aa9a
155ea17249
hex3ce1d920

1021434144 has 48 divisors (see below), whose sum is σ = 2696289120. Its totient is φ = 338570240.

The previous prime is 1021434131. The next prime is 1021434151. The reversal of 1021434144 is 4414341201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12537 + ... + 46904.

It is an arithmetic number, because the mean of its divisors is an integer number (56172690).

Almost surely, 21021434144 is an apocalyptic number.

It is an amenable number.

1021434144 is an abundant number, since it is smaller than the sum of its proper divisors (1674854976).

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

1021434144 is a wasteful number, since it uses less digits than its factorization.

1021434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59633 (or 59625 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1021434144 is about 31959.8833539799. The cubic root of 1021434144 is about 1007.0942670271.

Adding to 1021434144 its reverse (4414341201), we get a palindrome (5435775345).

The spelling of 1021434144 in words is "one billion, twenty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 59441 118882 178323 237764 356646 475528 713292 951056 1426584 1902112 2853168 5706336 10639939 21279878 31919817 42559756 63839634 85119512 127679268 170239024 255358536 340478048 510717072 1021434144