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1240144002 = 23273832137
BaseRepresentation
bin100100111101011…
…0001100010000010
310012102112211202100
41021322301202002
510014434102002
6323020331230
742506023116
oct11172614202
93172484670
101240144002
115870355a9
122a73a3b16
13169c0b726
14ba9bd746
1573d1a11c
hex49eb1882

1240144002 has 72 divisors (see below), whose sum is σ = 2777122764. Its totient is φ = 399866112.

The previous prime is 1240143973. The next prime is 1240144109. The reversal of 1240144002 is 2004410421.

It can be written as a sum of positive squares in 2 ways, for example, as 1232641881 + 7502121 = 35109^2 + 2739^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9052078 + ... + 9052214.

Almost surely, 21240144002 is an apocalyptic number.

1240144002 is an abundant number, since it is smaller than the sum of its proper divisors (1536978762).

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

1240144002 is a wasteful number, since it uses less digits than its factorization.

1240144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1240144002 is about 35215.6783549600. The cubic root of 1240144002 is about 1074.3786571983.

Adding to 1240144002 its reverse (2004410421), we get a palindrome (3244554423).

The spelling of 1240144002 in words is "one billion, two hundred forty million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 18 73 83 137 146 166 219 249 274 411 438 498 657 747 822 1233 1314 1494 2466 6059 6889 10001 11371 12118 13778 18177 20002 20667 22742 30003 34113 36354 41334 54531 60006 62001 68226 90009 102339 109062 124002 180018 204678 502897 830083 943793 1005794 1508691 1660166 1887586 2490249 2831379 3017382 4526073 4980498 5662758 7470747 8494137 9052146 14941494 16988274 68896889 137793778 206690667 413381334 620072001 1240144002