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141445400 = 23522397317
BaseRepresentation
bin10000110111001…
…00100100011000
3100212011011121112
420123210210120
5242202223100
622011355452
73335160155
oct1033444430
9325134545
10141445400
117292a028
123b452b88
13233c5205
1414add22c
15c63eb35
hex86e4918

141445400 has 96 divisors (see below), whose sum is σ = 347790240. Its totient is φ = 53391360.

The previous prime is 141445391. The next prime is 141445417. The reversal of 141445400 is 4544141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446042 + ... + 446358.

It is an arithmetic number, because the mean of its divisors is an integer number (3622815).

Almost surely, 2141445400 is an apocalyptic number.

141445400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173895120).

141445400 is an abundant number, since it is smaller than the sum of its proper divisors (206344840).

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

141445400 is a wasteful number, since it uses less digits than its factorization.

141445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 141445400 is about 11893.0820227559. The cubic root of 141445400 is about 521.0302552786.

Adding to 141445400 its reverse (4544141), we get a palindrome (145989541).

The spelling of 141445400 in words is "one hundred forty-one million, four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 97 100 115 184 194 200 230 317 388 460 485 575 634 776 920 970 1150 1268 1585 1940 2231 2300 2425 2536 3170 3880 4462 4600 4850 6340 7291 7925 8924 9700 11155 12680 14582 15850 17848 19400 22310 29164 30749 31700 36455 44620 55775 58328 61498 63400 72910 89240 111550 122996 145820 153745 182275 223100 245992 291640 307490 364550 446200 614980 707227 729100 768725 1229960 1414454 1458200 1537450 2828908 3074900 3536135 5657816 6149800 7072270 14144540 17680675 28289080 35361350 70722700 141445400