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141453153640 = 235233148910193
BaseRepresentation
bin1000001110111101000…
…0111101010101101000
3111112010010001201210101
42003233100331111220
54304144001404030
6144552131555144
713135224652561
oct2035720752550
9445103051711
10141453153640
1154a98687a67
12234b845bab4
1310453961416
146bbc619168
153a2d5b57ca
hex20ef43d568

141453153640 has 64 divisors (see below), whose sum is σ = 319881603600. Its totient is φ = 56295063552.

The previous prime is 141453153571. The next prime is 141453153641. The reversal of 141453153640 is 46351354141.

141453153640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34316080516 + 107137073124 = 185246^2 + 327318^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141453153640.

It is not an unprimeable number, because it can be changed into a prime (141453153641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13872384 + ... + 13882576.

Almost surely, 2141453153640 is an apocalyptic number.

141453153640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141453153640 is an abundant number, since it is smaller than the sum of its proper divisors (178428449960).

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

141453153640 is a wasteful number, since it uses less digits than its factorization.

141453153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 141453153640 in words is "one hundred forty-one billion, four hundred fifty-three million, one hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1489 1864 2330 2978 4660 5956 7445 9320 10193 11912 14890 20386 29780 40772 50965 59560 81544 101930 203860 346937 407720 693874 1387748 1734685 2374969 2775496 3469370 4749938 6938740 9499876 11874845 13877480 15177377 18999752 23749690 30354754 47499380 60709508 75886885 94998760 121419016 151773770 303547540 607095080 3536328841 7072657682 14145315364 17681644205 28290630728 35363288410 70726576820 141453153640