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1023040144 = 24717571941
BaseRepresentation
bin111100111110100…
…101101010010000
32122022000211020201
4330332211222100
54043344241034
6245303144544
734231461220
oct7476455220
92568024221
101023040144
11485530225
12246745154
13133c462c9
1499c28080
155ec33014
hex3cfa5a90

1023040144 has 80 divisors (see below), whose sum is σ = 2405310336. Its totient is φ = 411494400.

The previous prime is 1023040129. The next prime is 1023040147. The reversal of 1023040144 is 4410403201.

It is a super-2 number, since 2×10230401442 = 2093222272471081472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023040147) 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, 1086714 + ... + 1087654.

Almost surely, 21023040144 is an apocalyptic number.

1023040144 is a gapful number since it is divisible by the number (14) 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 1023040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202655168).

1023040144 is an abundant number, since it is smaller than the sum of its proper divisors (1382270192).

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

1023040144 is a wasteful number, since it uses less digits than its factorization.

1023040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1023040144 is about 31984.9987337814. The cubic root of 1023040144 is about 1007.6218084474.

Adding to 1023040144 its reverse (4410403201), we get a palindrome (5433443345).

The spelling of 1023040144 in words is "one billion, twenty-three million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 571 941 952 1142 1882 1904 2284 3764 3997 4568 6587 7528 7994 9136 9707 13174 15056 15988 15997 19414 26348 31976 31994 38828 52696 63952 63988 67949 77656 105392 111979 127976 135898 155312 223958 255952 271796 447916 537311 543592 895832 1074622 1087184 1791664 2149244 3761177 4298488 7522354 8596976 9134287 15044708 18268574 30089416 36537148 60178832 63940009 73074296 127880018 146148592 255760036 511520072 1023040144