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144200253400 = 23527103000181
BaseRepresentation
bin1000011001001100000…
…0010011111111011000
3111210012120012212012221
42012103000103333120
54330310231102100
6150124503513424
713263262634020
oct2062300237730
9453176185187
10144200253400
1156178313745
1223b44458874
13107a0b29138
146d9d3cca80
153b3e85101a
hex2193013fd8

144200253400 has 48 divisors (see below), whose sum is σ = 383160677040. Its totient is φ = 49440086400.

The previous prime is 144200253371. The next prime is 144200253413. The reversal of 144200253400 is 4352002441.

It is a happy number.

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

It is a congruent number.

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, 51498691 + ... + 51501490.

It is an arithmetic number, because the mean of its divisors is an integer number (7982514105).

Almost surely, 2144200253400 is an apocalyptic number.

144200253400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144200253400 is an abundant number, since it is smaller than the sum of its proper divisors (238960423640).

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

144200253400 is a wasteful number, since it uses less digits than its factorization.

144200253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103000204 (or 103000195 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 144200253400 its reverse (4352002441), we get a palindrome (148552255841).

The spelling of 144200253400 in words is "one hundred forty-four billion, two hundred million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 103000181 206000362 412000724 515000905 721001267 824001448 1030001810 1442002534 2060003620 2575004525 2884005068 3605006335 4120007240 5150009050 5768010136 7210012670 10300018100 14420025340 18025031675 20600036200 28840050680 36050063350 72100126700 144200253400