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1010141048 = 237232812791
BaseRepresentation
bin111100001101011…
…000011101111000
32121101202111000102
4330031120131320
54032044003143
6244122454532
734014025430
oct7415303570
92541674012
101010141048
1147921aa14
12242364448
1313137acc7
149822b2c0
155da360b8
hex3c358778

1010141048 has 64 divisors (see below), whose sum is σ = 2267550720. Its totient is φ = 412473600.

The previous prime is 1010141047. The next prime is 1010141053. The reversal of 1010141048 is 8401410101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010141047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360533 + ... + 363323.

It is an arithmetic number, because the mean of its divisors is an integer number (35430480).

Almost surely, 21010141048 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 1010141048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133775360).

1010141048 is an abundant number, since it is smaller than the sum of its proper divisors (1257409672).

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

1010141048 is a wasteful number, since it uses less digits than its factorization.

1010141048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1010141048 is about 31782.7161834856. The cubic root of 1010141048 is about 1003.3689865171.

Adding to 1010141048 its reverse (8401410101), we get a palindrome (9411551149).

The spelling of 1010141048 in words is "one billion, ten million, one hundred forty-one thousand, forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 281 322 562 644 1124 1288 1967 2248 2791 3934 5582 6463 7868 11164 12926 15736 19537 22328 25852 39074 45241 51704 64193 78148 90482 128386 156296 180964 256772 361928 449351 513544 784271 898702 1568542 1797404 3137084 3594808 5489897 6274168 10979794 18038233 21959588 36076466 43919176 72152932 126267631 144305864 252535262 505070524 1010141048