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70144144 = 2476110267
BaseRepresentation
bin1000010111001…
…01000010010000
311212222200200021
410023211002100
5120424103034
610543233224
71511133610
oct413450220
9155880607
1070144144
113665a374
121b5a8814
13116bc315
14945ca40
1562586b4
hex42e5090

70144144 has 40 divisors (see below), whose sum is σ = 157880768. Its totient is φ = 29566080.

The previous prime is 70144141. The next prime is 70144157. The reversal of 70144144 is 44144107.

It is not an unprimeable number, because it can be changed into a prime (70144141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699 + ... + 11965.

Almost surely, 270144144 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 70144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78940384).

70144144 is an abundant number, since it is smaller than the sum of its proper divisors (87736624).

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

70144144 is a wasteful number, since it uses less digits than its factorization.

70144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 70144144 is about 8375.2100869172. The cubic root of 70144144 is about 412.4112210534.

The spelling of 70144144 in words is "seventy million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6832 10267 20534 41068 71869 82136 143738 164272 287476 574952 626287 1149904 1252574 2505148 4384009 5010296 8768018 10020592 17536036 35072072 70144144