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1342002144 = 25372968863
BaseRepresentation
bin100111111111101…
…0101001111100000
310110112012202212010
41033333111033200
510222023032034
6341055432520
745153554460
oct11777251740
93415182763
101342002144
1162958608a
12315525740
13185052c12
14ca335ba0
157cc3a3e9
hex4ffd53e0

1342002144 has 96 divisors (see below), whose sum is σ = 4164894720. Its totient is φ = 370202112.

The previous prime is 1342002133. The next prime is 1342002209. The reversal of 1342002144 is 4412002431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1342002144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14944 + ... + 53919.

It is an arithmetic number, because the mean of its divisors is an integer number (43384320).

Almost surely, 21342002144 is an apocalyptic number.

1342002144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1342002144 is an abundant number, since it is smaller than the sum of its proper divisors (2822892576).

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

1342002144 is a wasteful number, since it uses less digits than its factorization.

1342002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68912 (or 68904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1342002144 is about 36633.3474309952. The cubic root of 1342002144 is about 1103.0225806080.

Adding to 1342002144 its reverse (4412002431), we get a palindrome (5754004575).

The spelling of 1342002144 in words is "one billion, three hundred forty-two million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 68863 137726 206589 275452 413178 482041 550904 826356 964082 1101808 1446123 1652712 1928164 1997027 2203616 2892246 3305424 3856328 3994054 5784492 5991081 6610848 7712656 7988108 11568984 11982162 13979189 15425312 15976216 23137968 23964324 27958378 31952432 41937567 46275936 47928648 55916756 63904864 83875134 95857296 111833512 167750268 191714592 223667024 335500536 447334048 671001072 1342002144