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144403140400 = 24521931870507
BaseRepresentation
bin1000011001111100011…
…0010000111100110000
3111210201200222120212021
42012133012100330300
54331214200443100
6150200552241224
713301305304221
oct2063706207460
9453650876767
10144403140400
1156271898752
1223ba03a0214
1310803b8450c
146dbc323248
153b5257aa1a
hex219f190f30

144403140400 has 60 divisors (see below), whose sum is σ = 348726288472. Its totient is φ = 57461944320.

The previous prime is 144403140397. The next prime is 144403140439. The reversal of 144403140400 is 4041304441.

It is a happy number.

It is a super-3 number, since 3×1444031404003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 858054 + ... + 1012453.

Almost surely, 2144403140400 is an apocalyptic number.

144403140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144403140400 is an abundant number, since it is smaller than the sum of its proper divisors (204323148072).

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

144403140400 is a wasteful number, since it uses less digits than its factorization.

144403140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870718 (or 1870707 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 144403140400 its reverse (4041304441), we get a palindrome (148444444841).

The spelling of 144403140400 in words is "one hundred forty-four billion, four hundred three million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 193 200 386 400 772 965 1544 1930 3088 3860 4825 7720 9650 15440 19300 38600 77200 1870507 3741014 7482028 9352535 14964056 18705070 29928112 37410140 46762675 74820280 93525350 149640560 187050700 361007851 374101400 722015702 748202800 1444031404 1805039255 2888062808 3610078510 5776125616 7220157020 9025196275 14440314040 18050392550 28880628080 36100785100 72201570200 144403140400