Search a number
-
+
1443441636 = 22327132319157
BaseRepresentation
bin101011000001001…
…0010101111100100
310201121002102200100
41112002102233210
510424010113021
6355121544100
750525023440
oct12602225744
93647072610
101443441636
1168087007a
123434a5030
131a007b9a0
14d99bd820
1586ac6626
hex56092be4

1443441636 has 144 divisors (see below), whose sum is σ = 4686200064. Its totient is φ = 364117248.

The previous prime is 1443441631. The next prime is 1443441641. The reversal of 1443441636 is 6361443441.

1443441636 is a `hidden beast` number, since 14 + 4 + 3 + 4 + 4 + 1 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (1443441631) and next prime (1443441641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1443441636.

It is not an unprimeable number, because it can be changed into a prime (1443441631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65770 + ... + 84926.

It is an arithmetic number, because the mean of its divisors is an integer number (32543056).

Almost surely, 21443441636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443441636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343100032).

1443441636 is an abundant number, since it is smaller than the sum of its proper divisors (3242758428).

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

1443441636 is a wasteful number, since it uses less digits than its factorization.

1443441636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19210 (or 19205 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1443441636 is about 37992.6523949039. The cubic root of 1443441636 is about 1130.1421587408.

The spelling of 1443441636 in words is "one billion, four hundred forty-three million, four hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 5382 5796 6279 8372 10764 12558 18837 19157 25116 37674 38314 57471 75348 76628 114942 134099 172413 229884 249041 268198 344826 402297 440611 498082 536396 689652 747123 804594 881222 996164 1206891 1321833 1494246 1609188 1743287 1762444 2241369 2413782 2643666 2988492 3084277 3486574 3965499 4482738 4827564 5229861 5287332 5727943 6168554 6973148 7930998 8965476 9252831 10459722 11455886 12337108 15689583 15861996 17183829 18505662 20919444 22911772 27758493 31379166 34367658 37011324 40095601 51551487 55516986 62758332 68735316 80191202 103102974 111033972 120286803 160382404 206205948 240573606 360860409 481147212 721720818 1443441636