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144442203013400 = 23521007477168561
BaseRepresentation
bin100000110101111010010010…
…001100111000000100011000
3200221102112120110220211021112
4200311322102030320010120
5122413020112432412100
61231111455414155452
742265414304633465
oct4065722214700430
9627375513824245
10144442203013400
114202965a000886
1214249a49652b88
136279ac2444b36
14279507b7c066c
1511a7416e8bb35
hex835e92338118

144442203013400 has 48 divisors (see below), whose sum is σ = 335831502234840. Its totient is φ = 57776299660800.

The previous prime is 144442203013349. The next prime is 144442203013417. The reversal of 144442203013400 is 4310302244441.

It is a super-3 number, since 3×1444422030134003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 16565120 + ... + 23733680.

Almost surely, 2144442203013400 is an apocalyptic number.

144442203013400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442203013400 is an abundant number, since it is smaller than the sum of its proper divisors (191389299221440).

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

144442203013400 is a wasteful number, since it uses less digits than its factorization.

144442203013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269324 (or 7269315 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144442203013400 its reverse (4310302244441), we get a palindrome (148752505257841).

The spelling of 144442203013400 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred three million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 100747 201494 402988 503735 805976 1007470 2014940 2518675 4029880 5037350 7168561 10074700 14337122 20149400 28674244 35842805 57348488 71685610 143371220 179214025 286742440 358428050 716856100 1433712200 722211015067 1444422030134 2888844060268 3611055075335 5777688120536 7222110150670 14444220301340 18055275376675 28888440602680 36110550753350 72221101506700 144442203013400