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1444006935 = 325719241271
BaseRepresentation
bin101011000010001…
…1100110000010111
310201122011011010100
41112010130300113
510424131210220
6355142025143
750532566520
oct12604346027
93648134110
101444006935
11681116868
123437181b3
131a0219097
14d9ac9847
1586b88d90
hex5611cc17

1444006935 has 48 divisors (see below), whose sum is σ = 3011074560. Its totient is φ = 625371840.

The previous prime is 1444006931. The next prime is 1444006961. The reversal of 1444006935 is 5396004441.

It is not a de Polignac number, because 1444006935 - 22 = 1444006931 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1444006935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444006931) 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, 114651 + ... + 126620.

It is an arithmetic number, because the mean of its divisors is an integer number (62730720).

Almost surely, 21444006935 is an apocalyptic number.

1444006935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1444006935 is an abundant number, since it is smaller than the sum of its proper divisors (1567067625).

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

1444006935 is a wasteful number, since it uses less digits than its factorization.

1444006935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241308 (or 241305 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1444006935 is about 38000.0912498904. The cubic root of 1444006935 is about 1130.2896730413.

The spelling of 1444006935 in words is "one billion, four hundred forty-four million, six thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 241271 723813 1206355 1688897 2171439 3619065 4584149 5066691 8444485 10857195 13752447 15200073 22920745 25333455 32089043 41257341 68762235 76000365 96267129 160445215 206286705 288801387 481335645 1444006935