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147200821144 = 23132176839377
BaseRepresentation
bin1000100100010111011…
…0100100011110011000
3112001221200022111100121
42021011312210132120
54402431402234034
6151342332243024
713430526222646
oct2110566443630
9461850274317
10147200821144
11574780316a3
1224641310474
1310b5b67bc00
1471a5b02196
153c67ea81b4
hex2245da4798

147200821144 has 96 divisors (see below), whose sum is σ = 316943014320. Its totient is φ = 63842009088.

The previous prime is 147200821139. The next prime is 147200821147. The reversal of 147200821144 is 441128002741.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147200821147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15693384 + ... + 15702760.

Almost surely, 2147200821144 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 147200821144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158471507160).

147200821144 is an abundant number, since it is smaller than the sum of its proper divisors (169742193176).

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

147200821144 is a wasteful number, since it uses less digits than its factorization.

147200821144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

Adding to 147200821144 its reverse (441128002741), we get a palindrome (588328823885).

The spelling of 147200821144 in words is "one hundred forty-seven billion, two hundred million, eight hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 683 884 1352 1366 1768 2732 2873 5464 5746 8879 9377 11492 11611 17758 18754 22984 23222 35516 37508 46444 71032 75016 92888 115427 121901 150943 159409 230854 243802 301886 318818 461708 487604 603772 637636 923416 975208 1207544 1275272 1584713 1962259 2072317 3169426 3924518 4144634 6338852 6404491 7849036 8289268 12677704 12808982 15698072 16578536 25617964 26940121 51235928 53880242 83258383 107760484 108876347 166516766 215520968 217752694 333033532 435505388 666067064 871010776 1082358979 1415392511 2164717958 2830785022 4329435916 5661570044 8658871832 11323140088 18400102643 36800205286 73600410572 147200821144