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4203000144 = 243376772053
BaseRepresentation
bin1111101010000100…
…1011000101010000
3101211220200112022000
43322201023011100
532101432001034
61533020514000
7206103624510
oct37241130520
911756615260
104203000144
111867536242
129936ab900
1351c9b9445
142bc2b7840
15198ec3599
hexfa84b150

4203000144 has 160 divisors (see below), whose sum is σ = 13814711040. Its totient is φ = 1198499328.

The previous prime is 4203000143. The next prime is 4203000161. The reversal of 4203000144 is 4410003024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4203000143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046222 + ... + 2048274.

It is an arithmetic number, because the mean of its divisors is an integer number (86341944).

Almost surely, 24203000144 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 4203000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907355520).

4203000144 is an abundant number, since it is smaller than the sum of its proper divisors (9611710896).

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

4203000144 is a wasteful number, since it uses less digits than its factorization.

4203000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4203000144 is about 64830.5494655105. The cubic root of 4203000144 is about 1613.8127227046.

Adding to 4203000144 its reverse (4410003024), we get a palindrome (8613003168).

The spelling of 4203000144 in words is "four billion, two hundred three million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 677 756 1008 1354 1512 2031 2053 2708 3024 4062 4106 4739 5416 6093 6159 8124 8212 9478 10832 12186 12318 14217 14371 16248 16424 18279 18477 18956 24372 24636 28434 28742 32496 32848 36558 36954 37912 42651 43113 48744 49272 55431 56868 57484 73116 73908 75824 85302 86226 97488 98544 110862 113736 114968 127953 129339 146232 147816 170604 172452 221724 227472 229936 255906 258678 292464 295632 341208 344904 388017 443448 511812 517356 682416 689808 776034 886896 1023624 1034712 1389881 1552068 2047248 2069424 2779762 3104136 4169643 5559524 6208272 8339286 9729167 11119048 12508929 16678572 19458334 22238096 25017858 29187501 33357144 37526787 38916668 50035716 58375002 66714288 75053574 77833336 87562503 100071432 116750004 150107148 155666672 175125006 200142864 233500008 262687509 300214296 350250012 467000016 525375018 600428592 700500024 1050750036 1401000048 2101500072 4203000144